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
收藏
页码：27 / 45
页数：19
相关论文
共 50 条
12345