Date: Mar 6, 2013 2:35 AM
Author: Torsten
Subject: Re: system of pde in time and two space variable

"giankly" wrote in message <kh598o$e1t$1@newscl01ah.mathworks.com>...
> Hi everybody,
>
> I'd like to know whether is possible to integrate numerically in Matlab a system of pde in time and TWO space variable, where each equation appears like the folllowing:
>
> du/dt + f(u) * du/dx + g(u) * du/dy = h(u)
>
> If I'm not wrong:
> - the function "pdepe" only allows to integrate such pde in time and ONE space variable;
> - the utility "pdetool" allows to integrate in time and two space variable, but not the typology of system I've described. In fact, the system that pdetool can integrate always has a second spatial derivative, whereas my system is composed only by first derivatives (in time and in space).
>
> Could someone give me some hints about such an issue ?
> Does it exist a generalization of "pdepe" in two space variable or a generalization of "pdetool" with only first derivatives ?
>
> Many thanks in advance for your help
>
> Giancarlo


AFAIK, there is no tool in MATLAB to solve hyperbolic PDEs.

For your system, I'd suggest that you use CLAWPACK available under
http://depts.washington.edu/clawpack/download/downloadmenu.html

It is especially designed to solve systems like the one you want to solve.

Best wishes
Torsten.