A Fast Solver for Systems of Reaction-Diffusion Equations
|Title||A Fast Solver for Systems of Reaction-Diffusion Equations|
|Year of Publication||2001|
|Authors||Garbey, M, Kaper, HG, Romanyukha, N|
In this paper we present a fast algorithm for the numerical solution of systems of reaction-diffusion equations,
�iu + a � �u = Du + F(x,t,u), x e W � R3, t > 0 .
Here, u is a vector-valued function, u � u(x,t) e Rm, m is large, and the corresponding system of ODEs, �tu = F(x,t,u), is stiff. Typical examples arise in air pollution studies, where a is the given wind field and the nonlinear function F models the atmospheric chemistry.