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