Can I solve a partial differential equation with "Moving boundary condition" by using pdepe?

Dear all,

I need your help on solving a PDE by using pdepe..

The PDE is ∂u/∂t=∂^2u/∂x^2. and bc : ∂u/∂x=0 (x=0), ∂u/∂x=Const*u*(1-u) (x=b) here, dx/dt=-const*(1-u) (x=b, moving boundary) and ic: u(x,0)=u0.

I tried to solve them by using pdepe but not sure it is correct. Does pdepe support to solve PDE with "moving boundary condition"? If not, how can I solve it?

Thank you in advance.

MK

[Rami]

Hi, Did you find an answer to this? I am looking to solve a pde with moving boundary conditions.

Thanks. Rami

[Torsten]

Not possible to be solved with "pdepe" because of the additional ordinary differential equation for the position of the front.

Best wishes

Torsten.

[Rami]

Hi Torsten, any other technique to solve it? Thanks! Rami

[Torsten]

There are solvers for PDEs that can handle coupled ordinary differential equations, but they are written in FORTRAN.

If you want to use MATLAB, you will have to do the following steps:

1. Make a coordinate transformation x'=x/b to the PDE which fixes the right boundary to x'=1.

2. Discretize the transformed PDE in space using the method of lines.

3. Solve the resulting system of ordinary differential equations from the discretization together with the coupling equation for the right boundary point using ODE15S.

Best wishes

Torsten.

[Jessica Hoffman]

I have just posted a similar question, and wondered if you ended up figuring it out, could you take a look? Best of luck!