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
收藏
页码：1 / 17
页数：17
相关论文
共 50 条
12345