A linearised singularly perturbed convection-diffusion problem with an interior layer

被引：8

作者：

O'Riordan, E. ^{[1
]}

Quinn, J. ^{[2
]}

机构：

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

[2] Dublin Inst Technol, Sch Math Sci, Dublin, Ireland

来源：

APPLIED NUMERICAL MATHEMATICS | 2015年 / 98卷

关键词：

Singularly perturbed; Interior layer; Convection diffusion; Parabolic;

D O I：

10.1016/j.apnum.2015.08.002

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A linear time dependent singularly perturbed convection-diffusion problem is examined. The convective coefficient contains an interior layer (with a hyperbolic tangent profile), which in turn induces an interior layer in the solution. A numerical method consisting of a monotone finite difference operator and a piecewise-uniform Shishkin mesh is constructed and analysed. Neglecting logarithmic factors, first order parameter uniform convergence is established. (C) 2015 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：1 / 17

页数：17

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