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Uniform convergence of a weighted average scheme for a nonlinear reaction-diffusion problem
被引：13
作者：
Boglaev, Igor
Hardy, Matthew
机构：
[1] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand
[2] Australian Natl Univ, Inst Math Sci, Canberra, ACT 0200, Australia
关键词：
parabolic reaction-diffusion problem;
boundary layers;
weighted average scheme;
uniform convergence;
D O I：
10.1016/j.cam.2006.01.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper deals with a weighted average scheme (or theta-scheme) for solving a nonlinear singularly perturbed parabolic reaction-diffusion problem. The uniform convergence of the weighted average scheme on piecewise uniform and log-meshes is established. Numerical experiments are presented. (c) 2006 Elsevier B.V. All rights reserved.
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页码：705 / 721
页数：17
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