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fzero with two variables and an array of elements in a loop
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Hi, thank you in advance.
There are two variables x and y, as well as a changing parameter T_array. I am now using the fzero to solve the system of nonlinear equations.
However, in the second section, BB(y,T) includes A(x,T) in the first section. Below is the code.
There is error "Operands to the logical and (&&) and or (||) operators must be convertible to logical scalar values." I guess it is because of the wrong defintion of A(z,T).
Could you please revise it? As I am using the fzero methond, it will be better if you can provide a better method.
p.V0=1e-6;
A=@(x,T) 4e17.*exp(-25619./T).*(x-0.02).^2./(0.2-x).^3; % A
B=@(x,T) 5e7.*(2.908-1.154.*x)./(0.86+0.6924.*x);
C=@(x,T) 166980.*B(x,T).^1.7.*exp(-25619./T).*(x-0.02).^2./(0.2-x).^2;
fx =@(x,T) 5e-5.*(A(x,T)+C(x,T))-p.V0;
options=odeset('Refine',1,'RelTol',1e-20,'InitialStep',1e-7,'MaxStep',3e5);
T=linspace(273.15,700,500);
for k=1:length(T)
fun=@(x)fx(x,T(k));
z(k)=fzero(fun,0.06,options);
end
p.V1=1e-7;
AA=@(y,T) 4e17.*exp(-25619./T).*(y-0.02).^2./(0.2-y).^3;
BB=@(y,T) 5e7.*(0.6+2e-5.*T.*log(AA(y,T)./A(z,T))+1.154.*(0.2-y))./...
(1-(0.6+2e-5.*T.*log(AA(y,T)./A(z,T)).*1.154.*(0.2-y)); % A(z,T) is related to the second line
CC=@(y,T) 166980.*BB(y,T).^1.7.*exp(-25619./T).*(y-0.02).^2./(0.2-y).^2;
fy =@(y,T) 5e-5.*(AA(y,T)+CC(y,T))-p.V1;
for k=1:length(T)
funn=@(y)fy(y,T(k));
w(k)=fzero(funn,0.06,options);
% figure
plot(T,w,'k-',T,BB(w,T),'r-')
Accepted Answer
Torsten
on 1 Feb 2023
p.V1=1e-7;
AA=@(y,T) 4e17.*exp(-25619./T).*(y-0.02).^2./(0.2-y).^3;
BB=@(y,z,T) 5e7.*(0.6+2e-5.*T.*log(AA(y,T)./A(z,T))+1.154.*(0.2-y))./...
(1-(0.6+2e-5.*T.*log(AA(y,T)./A(z,T)).*1.154.*(0.2-y)); % A(z,T) is related to the second line
CC=@(y,z,T) 166980.*BB(y,z,T).^1.7.*exp(-25619./T).*(y-0.02).^2./(0.2-y).^2;
fy =@(y,z,T) 5e-5.*(AA(y,T)+CC(y,z,T))-p.V1;
for k=1:length(T)
funn=@(y)fy(y,z(k),T(k));
w(k)=fzero(funn,0.06,options);
end
3 Comments
Mei Cheng
on 1 Feb 2023
Edited: Torsten
on 1 Feb 2023
@Torsten Hi, I am very sorry to bother you. Below is revised code, but there is still a few problems as shown. It cannot work properly. Also, x or y may exceed the range of 0.02-0.2 sometimes.
T=linspace(273.15,700,500);
p.V0=1e-6;
A=@(x,T) 4e17.*exp(-25619./T).*(x-0.02).^2./(0.2-x).^3; % A
B=@(x,T) 5e7.*(2.908-1.154.*x)./(0.86+0.6924.*x);
C=@(x,T) 166980.*B(x,T).^1.7.*exp(-25619./T).*(1-x./0.2).^(-2);
fx =@(x,T) 5e-5.*(A(x,T)+C(x,T))-p.V0;
options=odeset('Refine',1,'RelTol',1e-20,'InitialStep',1e-7,'MaxStep',3e5);
for k=1:length(T)
fun=@(x)fx(x,T(k));
z(k)=fzero(fun,0.19,options);
end
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.4005e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.877e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5109e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.3528e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.4691e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.9465e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.8985e-27i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0473e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3862e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.8318e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.4164e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.1823e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.1839e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.4918e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.1968e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.4159e-26i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2299e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6041e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.0887e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.7155e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.5249e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.5686e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.9123e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.6397e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.8571e-25i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2699e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6337e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.0986e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.6919e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.4481e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.4104e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.6333e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.1853e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.1523e-24i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1642e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.4788e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.876e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.3766e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.0069e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.7993e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.7943e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.0422e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.605e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.5599e-23i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2002e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.505e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.8847e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.3575e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.9452e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.6749e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.58e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.7012e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.0886e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.8032e-22i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.092e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.353e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6745e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.07e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5561e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.1527e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.8844e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.7806e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.8772e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.2176e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.8541e-21i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.085e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3282e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6242e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.9841e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.4213e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.9518e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.5949e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.3736e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.3157e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.4544e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.8292e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.4876e-20i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1486e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3892e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6787e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.0265e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.444e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.9449e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.545e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.2636e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.1232e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.1505e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.3771e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.8405e-19i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0585e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2662e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.5134e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.8072e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.1563e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5706e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.0619e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.644e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.3331e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.1483e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.1118e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.2497e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.5925e-18i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0176e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2041e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.4237e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.682e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.9857e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.3423e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.7608e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.2516e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.8268e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.5002e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.2883e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.2097e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.2862e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.543e-17i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0009e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1719e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.371e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6029e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.8726e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.1862e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5505e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.9734e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.4641e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.0329e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.692e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.455e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.3379e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.3587e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.5383e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.9005e-16i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1472e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3285e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.5375e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.7781e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.0551e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.3738e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.7401e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.161e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.6442e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.1988e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.8347e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.5636e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.3985e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.3543e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.4478e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.698e-15i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1127e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2759e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.4621e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.6746e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.9168e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.1929e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5072e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.865e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.272e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.7348e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.2607e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.8579e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.5358e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.3048e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.1769e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.1651e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.2845e-14i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0552e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.1986e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3607e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.544e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.7511e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.9849e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.2488e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.5465e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-2.8822e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.2604e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-3.6865e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.1661e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-4.7059e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.313e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-5.9954e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-6.7623e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-7.6236e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-8.5905e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-9.6754e-13i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.0892e-12i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.2256e-12i.)
Check function or try again with a different starting value.
Exiting fzero: aborting search for an interval containing a sign change
because complex function value encountered during search.
(Function value at -1.7556 is -1e-06-1.3785e-12i.)
Check function or try again with a different starting value.
p.V1=1e-7;
AA=@(y,T) 4e17.*exp(-25619./T).*(y-0.02).^2./(0.2-y).^3;
BB=@(y,z,T) 5e7.*(0.6+2e-5.*T.*log(AA(y,T)./A(z,T))+1.154.*(0.2-y))./...
(1-(0.6+2e-5.*T.*log(AA(y,T)./A(z,T)).*1.154.*(0.2-y))); % A(z,T) is related to the second line
CC=@(y,z,T) 166980.*BB(y,z,T).^1.7.*exp(-25619./T).*(1-y./0.2).^(-2);
fy =@(y,z,T) 5e-5.*(AA(y,T)+CC(y,z,T))-p.V1;
for k=1:length(T)
funn=@(y)fy(y,z(k),T(k));
w(k)=fzero(funn,0.19,options);
end
Error using fzero
Initial function value must be finite and real.
Initial function value must be finite and real.
% figure
plot(T,BB(w,T)./5e7,'k-')
Torsten
on 1 Feb 2023
Edited: Torsten
on 2 Feb 2023
Syntax erros are corrected (see above).
I changed
BB=@(y,z,T) 5e7.*(0.6+2e-5.*T.*log(AA(y,T)./A(z,T))+1.154.*(0.2-y))./...
(1-(0.6+2e-5.*T.*log(AA(y,T)./A(z,T)).*1.154.*(0.2-y)); % A(z,T) is related to the second line
to
BB=@(y,z,T) 5e7.*(0.6+2e-5.*T.*log(AA(y,T)./A(z,T))+1.154.*(0.2-y))./...
(1-(0.6+2e-5.*T.*log(AA(y,T)./A(z,T)).*1.154.*(0.2-y))); % A(z,T) is related to the second line
Hope this is correct.
Problem-related errors (equations, solutions with imaginary part or NaN,Inf or -Inf values, initial conditions,...) are your part.
More Answers (0)
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