Geometric mesh FDM for self-adjoint singular perturbation boundary value problems

被引：13

作者：

Kadalbajoo, Mohan K. ^{[1
]}

Kumar, Devendra ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 190卷 / 02期

关键词：

singular perturbation; finite difference; boundary layer; self-adjoint;

D O I：

10.1016/j.amc.2007.02.043

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A numerical method based on finite difference method with variable mesh is given for second order singularly perturbed self-adjoint two point boundary value problems. The original problem is reduced to its normal form and the reduced problem is solved by FDM taking variable mesh(geometric mesh). The maximum absolute errors max(i)vertical bar y(x(i)) - y(i)vertical bar, for different values of parameter epsilon, number of points N, and the mesh ratio r, for three examples have been given in tables to support the efficiency of the method. (C) 2007 Elsevier Inc. All rights reserved.

引用

页码：1646 / 1656

页数：11

共 12 条

[1] [Anonymous], 2000, PERTURBATION METHODS, DOI DOI 10.1002/9783527617609
[2] AXELSSON O, 1981, ANAL NUMERICAL APPRO
[3] Bellman R., 1964, Perturbation Techniques in Mathematics Physics and Engineering
[4] Bender C.M., 1978, Advanced mathematical methods for scientists and engineers
[5] Cole JD., 1979, PERTURBATION METHODS
[6] Eckhaus W., 1979, ASYMPTOTIC ANAL SING, V9
[7] HEMKER PW, 1979, NUMERICAL ANAL SINGU
[8] Miller JJ, 2012, Fitted numerical methods for singular perturbation problems
[9] O'Malley R.E., 1974, Introduction to Singular Perturbations
[10] ON A DIFFERENTIAL EQUATION OF BOUNDARY LAYER TYPE
PEARSON, CE
[J]. JOURNAL OF MATHEMATICS AND PHYSICS, 1968, 47 (02): : 134 - &

← 1 2 →