A singularly perturbed parabolic problem with a layer in the initial condition

被引：10

作者：

Gracia, J. L. ^{[1
]}

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

机构：

[1] Univ Zaragoza, Dept Appl Math, E-50009 Zaragoza, Spain

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

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2012年 / 219卷 / 02期

关键词：

Singular perturbation; Discontinuous data; Shishkin mesh;

D O I：

10.1016/j.amc.2012.06.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Singularly perturbed reaction-diffusion parabolic problems with non-smooth initial conditions are studied. A finite difference method is constructed on a piecewise-uniform mesh for a parabolic problem with an initial condition containing a layer. The parameter-uniform convergence of this numerical method is analyzed. This numerical method is used to generate an approximation to the solution of a singularly perturbed parabolic problem with a discontinuous initial condition. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：498 / 510

页数：13

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