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

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Sharon
Sharon 2024-2-27
编辑： Torsten 2024-2-27
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!

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Torsten
Torsten 2024-2-27
编辑：Torsten 2024-2-27
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.

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