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TWEET # Untitled a guest Oct 21st, 2019 108 Never
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1. function T = myFunction(n,T0,Tend)
2.     % n is the number of nodes along the rod
3.     % T0 is the temperature at node zero at x=0
4.     % Tend is the temperature at the last node at x=L
5.     % T is a vector of Temperature starting at node zero and going to the last node with Tend.
6.     % T should have n elements, as the temperature at each node.
7.     h = 0.01; % [m^-2]
8.     L = 10; % [m]
9.     Ta = 20; % C
10.     % Write your code here:
11.     onematrix = ones(n-2,1);
12.     dx = L/(n-1);
13.     m = h*dx^2;
14.     A = (2+m)*diag(onematrix)-diag(onematrix(1:end-1),-1)-diag(onematrix(1:end-1),1);
15.     b = onematrix*m*Ta;
16.     b(1) = b(1)+T0;
17.     b(end) = b(end)+Tend;
18.     T = A\b;
19.     T = [T0;T;Tend];
20.     figure()
21.     plot(T,'r')
22.     title('reference')
23.     ylabel('Temperature in [C]')
24.     xlabel('L in [m]')
25. end
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