A ROBUST COMPUTATIONAL TECHNIQUE FOR A SYSTEM OF SINGULARLY PERTURBED REACTION-DIFFUSION EQUATIONS

被引：2

作者：

Kumar, Vinod ^{[1
]}

Bawa, Rajesh K. ^{[2
]}

Lal, Arvind K. ^{[1
]}

机构：

[1] Thapar Univ, Sch Math & Comp Applicat, Patiala 147004, Punjab, India

[2] Punjabi Univ, Dept Comp Sci, Patiala 147002, Punjab, India

来源：

INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS AND COMPUTER SCIENCE | 2014年 / 24卷 / 02期

关键词：

asymptotic expansion approximation; backward difference operator; trapezoidal method; piecewise uniform Shishkin mesh; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; NUMERICAL-METHOD; COUPLED SYSTEM; HYBRID SCHEME;

D O I：

10.2478/amcs-2014-0029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a singularly perturbed system of reaction-diffusion Boundary Value Problems (BVPs) is examined. To solve such a type of problems, a Modified Initial Value Technique (MIVT) is proposed on an appropriate piecewise uniform Shishkin mesh. The MIVT is shown to be of second order convergent (up to a logarithmic factor). Numerical results are presented which are in agreement with the theoretical results.

引用

页码：387 / 395

页数：9

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