1D dimensional transient heat transfer model

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Lindsay Mau 2020-7-29

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https://ww2.mathworks.cn/matlabcentral/answers/572425-1d-dimensional-transient-heat-transfer-model

I am using the implicit method to solve T=[A]^-1[B]. So far I have a code that displays the intial temperatures for 11 nodes. For example, node 10 is 61.51 degrees C after 30 seconds. However, how do I update the code to determine the temperature distribution after 1 hour. I need to find T0-T10. I know I need a for loop. Somehow I need to update the B matrix inside the for-loop so that it changes as time increases.

n= 120; %number of iterations

t=0;

dt=30; %change in time [seconds]

tmax=3600;

A=[-230,50,0,0,0,0,0,0,0,0,0;

50,-460,50,0,0,0,0,0,0,0,0;

0,50,-460,50,0,0,0,0,0,0,0;

0,0,50,-460,50,0,0,0,0,0,0;

0,0,0,50,-460,50,0,0,0,0,0;

0,0,0,0,50,-460,50,0,0,0,0;

0,0,0,0,0,50,-460,50,0,0,0;

0,0,0,0,0,0,50,-460,50,0,0;