how to solve 2d heat equation?

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Aryaman
Aryaman 2014 年 9 月 29 日
編集済み: John D'Errico 2014 年 9 月 29 日
I am trying to solve a pde (steady state 2d heat equation). The system has certain number of nodes in x and y directions and the temperature of the boundary nodes is given. The temperature of all other nodes is the average value of the surrounding 4 nodes. How do I carry out iterations so the the error comes out to be nearly zero when we calculate successive nodal temperatures?

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John D'Errico
John D'Errico 2014 年 9 月 29 日
編集済み: John D'Errico 2014 年 9 月 29 日
Why iterate at all? Form a sparse linear system, and solve using backslash.
As it turns out, if the domain is a rectangular one, you can just use my inpaint_nans tool from the file exchange, as it does exactly what you want.

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