Can I include an ODE when I solve a system of PDEs in pdepe

Suppose I have a moving boundary problem and I have an ODE governing the length of the bounary I am interest in. Is it possible to include this into the pdepe function?

Answer 1

[Torsten]

No, but this code should work for your purpose:

https://de.mathworks.com/matlabcentral/fileexchange/97437-pde1dm?tab=reviews

[Matthew Hunt]

How well does this work with mixed hyperbolic-parabolic systems of equations?

[Torsten]

I only know Stefan's problem as a moving-boundary problem, and this problem is parabolic-elliptic. For this problem, pdepe works well.

But remembering the problems you posted in the past, I'm quite pessimistic about the suitability of the solver.