"Unable to perform assignment because the size of the left side is 11-by-1 and the size of the right side is 11-by-11." Error

Hi,

I am trying to solve finite volume approximation shceme. the error comes from line 42--> ui(:,n)=inv(AB)*ci. I believe that ui should be column vector of 11 rows in order to solve u for time step. So, I am not sure how to fix that

clc
r=1; %length
t=10; %time 
p=10; %number of r-grid
q=400; %number of time-grid 
dxr=r/p; %length step
dtr=t/q; %time step
nr=fix(p);
xr=[0:p+1]*dxr;
ntr=fix(q);
tr=[0:q]*dtr;
D= 0.1; %diffusion 
rr=D*dtr/dxr^2;
BC1=2; 
u0=zeros(nr+1,1); %initial C 
ui=u0;u 
ci= zeros(nr+1,1);
 % BC 1 for  
 %diffusivity constant used to beta
if rr > 0.5
   fprintf('gain parameter > 0.5')
end
for n=2:ntr+1
    % adjust first BC Dirichlet 
AB(1,1)=-5/2*rr;
AB(1,2)=3/2*rr;
AB(2,1)=rr;
ci(1)=BC1;
for i=2:nr
%internal points
% build the A matrix for internal nodes 
AB(i,i) = (1-(2*rr)+(rr/(i+1))-(rr/(i-1))); %for Ci 
AB(i+1,i)= (rr-(rr/(i-1))); %for C(i-1)
AB(i,i+1) = (rr+(rr/(i+1))); %for C(i+1) 
ci(i)=0;
end
% second BC Nuemann 
AB(p+1,p)=(rr-(rr/39));
AB(p+1,p+1) =((2*rr/39)+(rr/39)-rr);
AB(p+1,p-1)=rr;
ci(p+1)=0; 
ui(:,n)=inv(AB).*ci;
end 
figure (1)
plot(xr, ui)

Answer 1

[Walter Roberson]

Your code has

ui(:,n)=inv(AB).*ci;

but your text description says

ui(:,n)=inv(AB)*ci

Notice the difference: .* compared to * . The .* version is the wrong one, and the * version is the right one.

[Meteb Mejbel]

Great, Thanks Walter.