Is matlab able to solve a system of coupled PDE and ODE?

Matlab website says that pdepe(m,pdefun,icfun,bcfun,xmesh,tspan) solves a system of parabolic and elliptic PDEs with one spatial variable x and time t. At least one equation must be parabolic. I do not see any examples using pdepe to solve a system of parabolic and elliptic PDE. Could you please explain how to use pdepde to solve a system of parabolic and elliptic PDE? Any help would be appreciated!

Answer 1

[Torsten]

Setting c = 0 in "pdefun" deletes the time derivative of the respective equation and makes the equation an elliptic one.

But you ask about ODEs. ODEs only depend on t which makes f = 0 in "pdefun" - and this usually isn't possible with "pdepe".

Bill Greene claims that his code "pde1dm" can handle ODEs - maybe you can try his code:

https://uk.mathworks.com/matlabcentral/fileexchange/97437-pde1dm?tab=reviews

Maybe you can include your equations to check what is possible and what is not.