How can I solve systems of PDEs with three independent variables by using the pdepe solver of the MATLAB?

Now, I am trying to solve systems of PDEs (attached PDF file) by MATLAB. As you can see, this PDEs have three independent variable (x,y,t).

According to the example of the pdepe solver of the matlab web site, the each PDE can be solved by assuming the values of C and U, respectively. http://www.mathworks.com/help/matlab/ref/pdepe.html

However, I don't have any good ideas to solve the PDEs simultaneously by using the pdepe solver.

Do you have any ideas to solve these type of PDE systems?

Answer 1

[Torsten]

You will have to discretize your equations in space (x- and y-coordinate) and solve the resulting system of ordinary differential equations using ODE15s.

No chance to use pdepe for your problem.

Best wishes

Torsten.