MATLAB: How to solve simultaneous PDEs using pdepe
pdepdepesimultaneous pde
I have a set of two pdes that are interlinked. How do I use pdepe to solve the two equations simultaneously?
Best Answer
I'm afraid matlab may not be able to solve coupled(interlinked) PDEs with its own pdepe function. I used that one before. However, you could always do it yourself if you could apply some numercial methods and encode yourself with soooo powerful matlab. I'd like to recommend you a software call COMSOL. It was a matlab pde toolblx and later seperated from matlab and it is dedigned to solve coupled PDEs.
PDE Toolbox can solve nonlinear, elliptic PDE systems with an arbitrary number of dependent variables (i.e. systems with a reasonable number of coupled equations).
Most likely you will need to introduce an auxiliary variable, v and equation du/dt = v since pdepe does not handle d2u/dt2 terms directly. So the answer is yes but it still depends on the particular form of your pde
Best Answer