2d steady state conduction matlab help

[matlabnoob]

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

 

[Valkarie]

Yes, you can use for loops to solve this problem. You will need to create a matrix with the x and y values (each row representing an x value and each column representing a y value). Then, you can use a nested for loop to calculate the summation of the series for each (x,y) point. The result can be stored in the same matrix. Finally, you can use the matrix to plot the heat map.