A parameter robust higher order numerical method for singularly perturbed two parameter problems with non-smooth data

被引：28

作者：

Chandru, M. ^{[1
]}

Prabha, T. ^{[1
]}

Shanthi, V. ^{[1
]}

机构：

[1] Natl Inst Technol, Dept Math, Tiruchirappalli, Tamil Nadu, India

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2017年 / 309卷

关键词：

Singular Perturbation Problem (SPP); Boundary and interior layers; Reaction-convection-diffusion; Two-parameter; Hybrid difference scheme; CONVECTION-DIFFUSION PROBLEMS; BOUNDARY;

D O I：

10.1016/j.cam.2016.06.009

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A singularly perturbed second order ordinary differential equation having two parameters with a discontinuous source term is presented for numerical analysis. Theoretical bounds on the derivatives, regular and singular components of the solution are derived. A hybrid monotone difference scheme with the method of averaging at the discontinuous point is constructed on Shishkin mesh. Parameter-uniform error bounds for the numerical approximation are established. Numerical results are presented which support the theoretical results. (C) 2016 Elsevier B.V. All rights reserved.

引用

页码：11 / 27

页数：17

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