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Re: upwind scheme in Mathematica?

  • To: mathgroup at smc.vnet.net
  • Subject: [mg103058] Re: upwind scheme in Mathematica?
  • From: Mark Fisher <particlefilter at gmail.com>
  • Date: Sun, 6 Sep 2009 07:37:21 -0400 (EDT)
  • References: <h7ijqk$i83$1@smc.vnet.net> <h7tbhd$fv7$1@smc.vnet.net>

On Sep 5, 5:37 am, Santhosh <santhosh... at gmail.com> wrote:
> On Sep 1, 2:51 am, Santhosh <santhosh... at gmail.com> wrote:
>
> > hi all,
>
> > I am trying to solve convection-diffusion-reactions(in time and one
> > space coordinate) equations with NDSolve. Most of the time I am not
> > getting solution to my problem as solver fails to converge. I guess
> > the problem is very stiff and convection dominated. When I useupwind
> > difference scheme in fortran, I get the solution easily. How can useupw=
in=
> din NDSolve?
> > What is the method mathematica uses to solve pdes?
>
> > any comments are welcome.
>
> > Thanks in advance.
>
> I am still looking of answer!

Mathematica uses the method of lines to solve pdes numerically. To
read about it, paste  "tutorial/NDSolvePDE" (without the quotes) into
the search box in the help system. (I don't know anything about upwind
methods.)

--Mark


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