A Fast Solver for Systems of Reaction-Diffusion Equations

TitleA Fast Solver for Systems of Reaction-Diffusion Equations
Publication TypeReport
Year of Publication2001
AuthorsGarbey, M, Kaper, HG, Romanyukha, N
Date Published03/2001
Other NumbersANL/MCS-P879-0301
Abstract

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.

PDFhttp://www.mcs.anl.gov/papers/P879.ps.Z