Question

2D heat equation Matlab help

The governing equation for the temperature distribution with time on a 2D square plate measuring 1 unit by1 unit is

 

∂T/∂t = ∂2T/∂x2 + ∂2T/∂y2 ,

 

subjected to the Dirichlet boundary conditions for T  provided in Fig.1.  You are to obtain the following:


The temperature contour plot on the square plate with time, say at t=0.01, 0.1 and at steady state. (You can provide contours at other times too to depict the convergence of the results at steady state.) Take the initial condition at t=0 as T=0.0 for the whole domain.


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How to write a Matlab code that solves the equation via explicit method? I'm a newbie.

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