Uniform Convergence of a Monotone Iterative Method for a Nonlinear Reaction-Diffusion Problem

摘要

This paper deals with a monotone iterative method for solving a nonlinear parabolic reaction-diffusion problem. The monotone iterative method based on the method of upper and lower solutions is constructed. A rate of convergence of the method is estimated. Uniform convergence properties of the monotone iterative method are studied. Numerical experiments are presented.