A Fast Monotone Iterative Method for Nonlinear
Reaction-Diffusion Systems

Mohammed Seaid

Universidad Complutensede Madrid
Facultad CC Matematicas
Dpt. Matematica Aplicada
28040 Madrid
Spain


Abstract

A fast monotone iterative method is proposed for solving nonlinear Reaction-Diffusion systems. Its convergence is investigated. Numerical results show the advantages of such method when it compared with the method based on the upper and lower solutions frequentlly used by Chia Ven Pao.