Re: Numerical Solver for 2D/3D (Reaction-)Diffusion equation
- To: mathgroup at smc.vnet.net
- Subject: [mg115291] Re: Numerical Solver for 2D/3D (Reaction-)Diffusion equation
- From: Oliver Ruebenkoenig <ruebenko at wolfram.com>
- Date: Thu, 6 Jan 2011 02:07:17 -0500 (EST)
On Tue, 4 Jan 2011, Alois wrote:
> I'm trying to solve numerically a 2d/3d reaction-diffusion equation
> using NDSolve. The system can be solved for one spatial dimension (+
> time dimension), but it does not converge for two spatial dimensions
> (x,y,t). Actually, I'm trying to use polar coordinates (r, phi, t),
> because the problem has a point source.
>
> I'm using NDsolve with the following method:
> Method -> {"MethodOfLines", "SpatialDiscretization" ->
> {"TensorProductGrid", "Coordinates" -> myGrid}
>
> which fails. Can you recommend a better method to solve the problem in
> 2D (and eventually in 3D) ?
>
> Kind regards,
> Alois
>
>
>
>
Alois,
you find an example of one way to do it here
http://library.wolfram.com/infocenter/Conferences/7549/
Hope this helps,
Oliver