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I am wondering how can I solve the porous medium equation (nonlinear heat equation) in a finite domain in 1D, with Dirichlet type boundary conditions and an initial condition. Matlab's PDE toolbox is still short of performing this task, as far as I know.

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Bill Greene
Bill Greene am 22 Apr. 2015

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Since the problem is 1D, you can use the pdepe function.

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