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$e1t$>...
> 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

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

Best wishes