A parameter uniform numerical method for a system of singularly perturbed ordinary differential equations

被引：13

作者：

Hemavathi, S. ^{[1
]}

Bhuvaneswari, T. ^{[1
]}

Valarmathi, S. ^{[1
]}

Miller, J. J. H. ^{[2
]}

机构：

[1] Bishop Heber Coll, Dept Math, Tiruchirappalli 620017, Tamil Nadu, India

[2] Trinity Coll Dublin, Dept Math, Dublin, Ireland

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 191卷 / 01期

关键词：

system of differential equations; initial value problems; singular perturbation problems; initial-boundary layers; finite difference schemes; fitted mesh; BOUNDARY-VALUE-PROBLEMS; APPROXIMATION;

D O I：

10.1016/j.amc.2006.05.218

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper an initial value problem for a system of singularly perturbed ordinary differential equations is considered. A parameter robust computational method is constructed and it is proved that it gives essentially first order parameter-uniform convergence in the maximum norm. Numerical results are presented in support of the theory. (c) 2006 Published by Elsevier Inc.

引用

页码：1 / 11

页数：11

共 12 条

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[3] Matthews S., 2000, THESIS DUBLIN CITY U
[4] MATTHEWS S, 2000, PARAMAETER ROBUST NU
[5] Matthews S, 2002, J COMPUT APPL MATH
[6] Miller J. J. H, 1980, UNIFORM NUMERICAL ME
[7] OLEINIK OA, 1999, SERIES APPL MATH SCI, V15
[8] Schlichting H., 1979, Boundary-layer theory, V7
[9] Shishkin G.I., 2012, FITTED NUMERICAL MET
[10] SHISHKIN GI, 1995, COMP MATH MATH PHYS+, V35, P429

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