symbolic code with boundary condition
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t = sym('t'); x = sym('x');
a=5;a1=2;xa=0;xb=3;
g = zeros(1,3,'sym');ga = zeros(1,3,'sym');g(1)=a*x+(5/2)*x.^2;
for i=1:3
ga(i) = subs(g(i),x,t);dga = diff(ga(i),t,1);d2ga = diff(dga,t,1);
Ig1 = int(-ga(i)*d2ga + 2*dga,t,0,t);Ig2=int(Ig1,t,0,t);Ig3=int(Ig2,t,0,x);
g(i+1) = a1*Ig3;
% % disp(g(i+1))
end
g = g(1)+g(2)+g(3)+g(4);
G1 = double(subs(g, x, xn));G2 = [a diff(double(subs(g,x,xn)))];
xn=linspace(xa,xb,100);x = xn;
figure(1)
plot(xn,G1,'LineWidth',1.5)
xlabel('\bf\eta'); ylabel('\bfg(\eta)');
hold on
figure(2)
plot(xn,G2,'LineWidth',1.5)
xlabel('\bf\eta'); ylabel('\bfg^''(\eta)');
hold on
%% G1 should start from '1' and G2 from 'a' end with '0' (in Y-axis)
what modification needed?
3 Comments
KALYAN ACHARJYA
on 29 Dec 2019
Undefined function or variable 'xn'.
MINATI PATRA
on 29 Dec 2019
It is defined as linspace in the code
MINATI
on 29 Dec 2019
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