Method of reduction of order for solving singularly perturbed two-point boundary value problems

被引：20

作者：

Reddy, YN ^{[1
]}

Chakravarthy, PP

机构：

[1] Reg Engn Coll, Dept Math, Warangal 506004, Andhra Pradesh, India

[2] Kakatiya Inst Technol & Sci, Dept Math, Warangal 506015, Andhra Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2003年 / 136卷 / 01期

关键词：

ordinary differential equations; singular perturbations; boundary value problems; initial value methods; boundary layer;

D O I：

10.1016/S0096-3003(02)00015-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper. a method of reduction of order is proposed for solving singularly perturbed two-point boundary value problems with a boundary layer at one end point. It is distinguished by the following fact: the original singularly perturbed boundary value problem is replaced by a pair of initial value problems. Classical fourth order Runge-Kutta method is used to solve these initial value problems. Several linear and non-linear singular perturbation problems have been solved and the numerical results are presented to support the theory. (C) 2002 Published by Elsevier Science Inc.

引用

页码：27 / 45

页数：19

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