A note on a parameterized singular perturbation problem

被引：30

作者：

Amiraliyev, GM ^{[1
]}

Duru, H ^{[1
]}

机构：

[1] Yuzuncu Yil Univ, Fac Art & Sci, Dept Math, TR-65080 Van, Turkey

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2005年 / 182卷 / 01期

关键词：

parameterized problem; singular perturbation; uniform convergence; finite difference scheme; Shishkin mesh;

D O I：

10.1016/j.cam.2004.11.047

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results. (c) 2004 Elsevier B.V All rights reserved.

引用

页码：233 / 242

页数：10

共 18 条

[1]

Amiraliyev G.M., 1990, USSR DIFFER EQUAT, V26, P2146

[2]

Amiraliyev GM, 2003, COMPUT MATH APPL, V46, P695, DOI [10.1016/S0898-1221(03)90135-0, 10.1016/S0898-1221(03)00278-5]

[3] A uniformly convergent finite difference method for a singularly perturbed initial value problem [J].

Amiraliyev, GM ;

Duru, H .

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 1999, 20 (04) :379-387

[4]

Doolan E.P., 1980, Uniform Numerical Methods for Problems with Initial and Boundary Layers

[5]

Farrell P.A., 2000, Applied Mathematics (Boca Raton)

[6]

FARRELL PA, 1991, P 13 IMACS WORLD C C, P501

[7] PARAMETRIZED SINGULARLY PERTURBED BOUNDARY-VALUE-PROBLEMS [J].

FECKAN, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 188 (02) :426-435

[8]

Gulle A., 1998, T ACAD SCI AZERB SER, V18, P34

[9]

JANKOWSKI T, 2001, MATH NOTES MISCOLC, V2, P31

[10]

Jankowski T., 1997, J APPL MATH STOCH AN, V10, P273, DOI DOI 10.1155/S1048953397000348

← 1 2 →