How to solve a nonlinear Parabolic PDE IBVP

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.

Answer 1

[Bill Greene]

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