2d steady state conduction matlab help

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Homework Statement



Hey guys, I am doing a steady state 2d heat conduction problem which is a 1mx1m cavity with three different wall temperatures on the 4 different walls.

I am using the principle of superposition to work this out.

What I want to do is plot a heat map on matlab.

I have a basic knowledge of matlab but the problem is I have three variables x,y and n in the series summation.

This means that i need to know a temperature value for every value of (x,y) between 0 and 1, at intervals of say 0.01 and for every value of (x,y) i need to work out the summation to an n value of approx 50 (when the change becomes negligible).

Is the best way to do this on matlab using for loops and outputting each answer to a matrix?

Thanks in advance

Homework Equations





The Attempt at a Solution

 

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