Finite Difference Method Boundary Value Problem
3 views (last 30 days)
Show older comments
Hi, I am lost in this Boundary Value Problem requiring to use Finite Difference Method:
I attached what I have done and the hint our professor provided, I also tried different methods from other matlab questions and youtube, but it always runs some error.
Below this is the code I hae so far, it works but it does not look correct, can anyone help please? I will really appreciate that!
%% Initialize parameters
clc,clear
T_B = 600; % boundary condition
T_E = 350; % boundary condition
T_Inf = 300;
M = 4;
L = 2.0;
% Discretization
num_nodes = 51;
num_segments = num_nodes-1;
h = L/num_segments;
% x = T_B:-h:T_E;
xj = 0:h:L;
Q=@(T)(-4*(300-T));
% Building up matrix
diagonal = [1/h; 2/h^2*ones(num_segments-1,1); 1/h];
A = diag( diagonal);
for i = 2:num_segments+1
A(i-1,i)=-1/h^2; A(i,i-1)=-1/h^2; %%%%%%%%%%%%%% signs
end
A(1,2)=0; A(num_segments+1,num_segments)=0;
b = [T_B/h; Q(xj(2:end-1))'; T_E/h]; %%%%%%%%%%%%%%% Q(xj(2_end-1))' not just Q
T=A\b;
plot(xj,T),grid
3 Comments
Jan
on 11 Nov 2021
This does not clarify, wh yozu assume, that there is a problem. Remember, that the readers are not working in your field. So explain the problem like you would explain it to a rubber duck.
Answers (0)
See Also
Categories
Find more on Matrices and Arrays in Help Center and File Exchange
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!