High-Order Method for a Singularly Perturbed Second-Order Ordinary Differential Equation with Discontinuous Source Term Subject to Mixed Type Boundary Conditions

被引：0

作者：

Priyadharshini, R. Mythili

Ramanujam, N.

机构：

来源：

MATHEMATICAL MODELLING AND SCIENTIFIC COMPUTATION | 2012年 / 283卷

关键词：

Singular perturbation problem; mixed type boundary conditions; discontinuous source term; Shishkin mesh; discrete derivative; CONVECTION COEFFICIENT; APPROXIMATION; SCHEME;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

In this paper, a singularly perturbed second-order ordinary differential equation with discontinuous source term subject to mixed type boundary conditions is considered. A robust-layer-resolving numerical method of high-order is suggested. An epsilon-uniform error estimates for the numerical solution and also to the numerical derivative are derived. Numerical results are presented, which are in agreement, with the theoretical results.

引用

页码：351 / 359

页数：9

共 8 条

[1] ANSARI AR, 1999, APPL MATH COMPUT, V100, P27
[2] A hybrid difference scheme for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
Cen, ZD
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2005, 169 (01) : 689 - 699
[3] Farrell P., 2000, Robust Computational Techniques for Boundary Layers
[4] Singularly perturbed convection-diffusion problems with boundary and weak interior layers
Farrell, PA
Hegarty, AF
Miller, JJH
O'Riordan, E
Shishkin, GI
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2004, 166 (01) : 133 - 151
[5] Approximation of derivatives in a convection-diffusion two-point boundary value problem
Kopteva, N
Stynes, M
[J]. APPLIED NUMERICAL MATHEMATICS, 2001, 39 (01) : 47 - 60
[6] Priyadharshini R. Mythili, 2009, Journal of Applied Mathematics and Informatics, V27, P517
[7] Priyadharshini RM, 2009, NUMER MATH-THEORY ME, V2, P100
[8] Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme
Priyadharshini, R. Mythili
Ramanujam, N.
[J]. INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 86 (08) : 1355 - 1365

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