Solve 2d PDE

Hi,

I want to solve a 2d partial differential equation with Matlab. The equation reads

Is it possible to solve this PDE with Matlab? I have the PDE toolbox, but I cannot bring my PDE to the form required by Matlab:

[Torsten]

Are you sure about the d_xy term ?

[enduro]

Yes, that term is really there in my full equation.

As a first approximation, however, it can be neglected.

[Torsten]

If you neglect the mixed-derivative term, I recommend CLAWPACK to solve.

MATLAB has no tools for first-order hyperbolic PDEs.

[enduro]

Thanks, Torsten. Eventually I have to include also the mixed-derivative term. Would it still not be possible to solve the PDE with Matlab?

[Torsten]

See section 2-62 from

http://www.cmap.polytechnique.fr/~jingrebeccali/frenchvietnammaster2_files/2017/pdetool_doc

to see whether your equation can be transformed to the divergence form MATLAB requires (I doubt it).

[enduro]

Indeed it seems like it is not possible to bring my equation into the form required by Matlab.

Answer 1

[Usman Akram]

2D PDE for equation

Q=-kAdt/dx

can you solve this equation