How to solve this question in MATLAB?

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Nannthini on 11 Jan 2023
Commented: Nannthini on 11 Jan 2023
I have tried this question manually as well as in MATLAB but the value of U(x,t) not match with my manual calculation answer. I dont know where I make the mistake.
%Evaluate BC
dx = 0.25;
X = 0:dx:1;
dt = 0.1;
t = 0:dt:1;
h = 1/(length(X)-1) ; %step size
u = zeros(length(t),length(X));
for j = 1:length(t)
for i=1:length(X)
u(j,i) = exp((-pi*j)/4)*sin((pi*i)/2);
disp([X' u'])
  1 Comment
Jiri Hajek
Jiri Hajek on 11 Jan 2023
Hi, in your expression, you are not using as inputs x(i) and t(j), but just the indices...

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Accepted Answer

KSSV on 11 Jan 2023
dx = 0.25 ;
dt = 0.1 ;
x = 0:dx:1 ;
t = 0:dt:1 ;
[x,t] = meshgrid(x,t) ;
U = exp(-pi*t/4).*sin(pi*x/2) ;
Nannthini on 11 Jan 2023
Thank you so much. Now the value U(x,t) is match with my manual calculation.

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