On modified accelerated monotone iterates for solving semilinear parabolic problems

被引：3

作者：

Boglaev, Igor ^{[1
]}

机构：

[1] Massey Univ, Inst Fundamental Sci, Palmerston North, New Zealand

来源：

APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 12期

关键词：

Semilinear parabolic problem; Accelerated monotone method; Monotone convergence; BOUNDARY-VALUE-PROBLEMS; REACTION-DIFFUSION; NUMERICAL-SOLUTIONS; EQUATIONS;

D O I：

10.1016/j.apnum.2012.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with numerical solutions of nonlinear parabolic problems. Monotone sequences, based on a modified accelerated monotone iterative method, are constructed for a nonlinear difference scheme which approximates a nonlinear parabolic problem. The monotone convergence leads to the existence-uniqueness theorem. An analysis of a convergence rate of the modified accelerated monotone iterative method is given. Numerical experiments are presented. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1849 / 1863

页数：15

共 15 条

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