# Solution of the Laplace Equation for Temperature Distribution in a Square

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Consider the Laplace equation in a square region, where . We wish to solve for the temperature distribution , subject to the following Dirichlet boundary conditions:

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Contributed by: Housam Binous and Ahmed Bellagi (August 2015)

Open content licensed under CC BY-NC-SA

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Reference

[1] L. N. Trefethen, *Spectral Methods in MATLAB*, Philadelphia: SIAM, 2000.