How to solve PDE with two regions

Suppose I've a PDE which is valid in two regions.

Can we solve this eqns with pdepe solver?

Answer 1

[Torsten]

Yes.

Choose "a" as a grid point for pdepe. Then you can solve your system as one partial differential equation for C_B by adding the source term depending on whether z < a or z >= a.

[Jagadeesh Korukonda]

Thanks @Torsten. I had one doubt suppose in my code and then how we will define our poblem

[Torsten]

The transmission conditions you stated in your problem above were different. You changed the problem to the new transmission conditions ?

[Jagadeesh Korukonda]

yes, what I'm asking now is more general case. Can we solve above system with these BC's?

[Torsten]

Can we solve above system with these BC's?

Not with pdepe.

You will have to discretize your equation and your transmission conditions in space, leave the time derivative in its continuous form and solve the system of ordinary differential equations using ODE15S.

Look up "method of lines" for more details.