New to solve partial differential equation set

Hello,

I'm new to solve partial differential euqations, I have euqations as follows and boundary conditions, can someone tells me how to get start to solve these? Thank you!

with boundary conditions:

and

[Torsten]

The usual way is to discretize the equations in space and solve the resulting system of ordinary differential equations using ODE15S.

Look up "method of lines" for more details.

[yuh zhang]

Thank you! great suggestion!

[Torsten]

My pleasure.