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Re: Solving PDE; novice question

From: Ivan Sutoris
Subject: Re: Solving PDE; novice question
Date: Wed, 15 Apr 2009 00:18:26 +0200

On Tue, Apr 14, 2009 at 6:58 AM, John B. Thoo <address@hidden> wrote:
> Hello, everyone.
> I've had Octave loaded on my PowerBook for a long time (v. 2.1.73)
> and have used it *very* lightly for very simple things, mostly to
> obtain simple plots.  Now I have a good reason to upgrade Octave and
> learn to use it better: I need to solve a PDE.  Henry Mollet sent me
> instructions on upgrading to v. 3.x some time ago and I've kept those
> instructions, so I can upgrade.  (Thanks, Henry!) :-)
> Now my questions.  The questions are about Octave, but please note
> that I don't have any experience with numerics or coding at all, so
> please be gentle.
> 1)  Can Octave be used to solve an equation like this:
>   u_{tt}(x,t) - C * u_{xx}(x,t)
>   = B * \int_{-infty}^{+\infty} K(x-y,y) * u(x-y,t) * u(y,t) dy,
> where  B, C  are constants and  K  is some kernel.
> 2) If the answer is yes, then where should I look in the
> documentation (or elsewhere) to learn (in baby steps) how to solve
> such an equation eventually?  (I think one good step along the way,
> after some initial baby steps solving some baby equations, would be
> to solve the inviscid Burgers equation:
>   u_t + u*u_x = 0,  u = u(x,t).)
> Thanks for your help.
> ---John.

I'm not expert on PDE's, but I think Octave itself does not have
specific function for PDE solving, and I don't see such package at
Octave-Forge either. I've discovered some finite element code for
Octave on the web [1], [2] , but haven't tried it myself.

[2] OctMesh:

Ivan Sutoris

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