A parameter uniform numerical method for a nonlinear elliptic reaction-diffusion problem

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:350

Article

Boglaev, Igor¹ 

[1] Massey Univ, Inst Fundamental Sci, Private Bag 11-222, Palmerston North, New Zealand

关键词: Elliptic reaction-diffusion problem;    Boundary layers;    Monotone iterative method;    Upper and lower solutions;    Uniform convergence;   

DOI  :  10.1016/j.cam.2018.10.017

来源: Elsevier

【 摘 要 】

This paper deals with a parameter robust numerical method for solving a nonlinear singularly perturbed elliptic reaction-diffusion problem. Existence and uniqueness of a solution to a nonlinear difference scheme are established. The uniform convergence of the nonlinear difference scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free