A CLASS OF SINGULARLY PERTURBED QUASILINEAR DIFFERENTIAL EQUATIONS WITH INTERIOR LAYERS

被引：11

作者：

Farrell, P. A. ^{[1
]}

O'Riordan, E. ^{[2
]}

Shishkin, G. I. ^{[3
]}

机构：

[1] Kent State Univ, Dept Comp Sci, Kent, OH 44242 USA

[2] Dublin City Univ, Sch Math Sci, Dublin 9, Ireland

[3] Russian Acad Sci, Inst Math & Mech, Ekaterinburg, Russia

来源：

MATHEMATICS OF COMPUTATION | 2009年 / 78卷 / 265期

基金：

俄罗斯基础研究基金会;

关键词：

Quasilinear; uniform convergence; layer adapted mesh; interior layer; BOUNDARY-VALUE-PROBLEMS; POINTWISE CONVERGENCE; MESHES;

D O I：

10.1090/S0025-5718-08-02157-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A class of singularly perturbed quasilinear differential equations with discontinuous data is examined. In general, interior layers will appear in the solutions of problems from this class. A numerical method is constructed for this problem class, which involves an appropriate piecewise-uniform mesh. The method is shown to be a parameter-uniform numerical method with respect to the singular perturbation parameter. Numerical results are presented, which support the theoretical results.

引用

页码：103 / 127

页数：25

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