Numerical Solver for 2D/3D (Reaction-)Diffusion equation

*To*: mathgroup at smc.vnet.net*Subject*: [mg115190] Numerical Solver for 2D/3D (Reaction-)Diffusion equation*From*: Alois <alois.schloegl at gmail.com>*Date*: Tue, 4 Jan 2011 04:22:56 -0500 (EST)

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