Approximation of derivative to a singularly perturbed second-order ordinary differential equation with discontinuous convection coefficient using hybrid difference scheme

被引：7

作者：

Priyadharshini, R. Mythili ^{[1
]}

Ramanujam, N. ^{[1
]}

机构：

[1] Bharathidasan Univ, Dept Math, Tiruchirappalli, Tamil Nadu, India

来源：

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS | 2009年 / 86卷 / 08期

关键词：

singular perturbation problems; discontinuous convection term; scaled derivative; scaled discrete derivative; hybrid scheme; DIFFUSION PROBLEM; NUMERICAL-METHOD; BOUNDARY;

D O I：

10.1080/00207160701870837

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a hybrid difference scheme for singularly perturbed second-order ordinary differentialequations with a discontinuous convection coefficient is presented. A parameter-uniform error bound for the numerical derivative is established using hybrid difference scheme on a Shishkin mesh. Numerical results are provided to illustrate the theoretical results.

引用

页码：1355 / 1365

页数：11

共 10 条

[1] 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
[2] DUNNE RK, 2006, DCU MATHS DEP PREPRI
[3] Farrell P., 2000, Robust computational techniques for boundary layers
[4] Global maximum norm parameter-uniform numerical method for a singularly perturbed convection-diffusion problem with discontinuous convection coefficient
Farrell, PA
Hegarty, AF
Miller, JJH
O'Riordan, E
Shishkin, GI
[J]. MATHEMATICAL AND COMPUTER MODELLING, 2004, 40 (11-12) : 1375 - 1392
[5] 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
[6] 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
[7] PRIYADHARSHINI RM, 2007, COMMUNICATION
[8] Asymptotic numerical method for boundary value problems for singularly perturbed fourth-order ordinary differential equations with a weak interior layer
Shanthi, V
Ramanujam, N
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2006, 172 (01) : 252 - 266
[9] UNIFORMLY CONVERGENT DIFFERENCE-SCHEMES FOR SINGULARLY PERTURBED PARABOLIC DIFFUSION-CONVECTION PROBLEMS WITHOUT TURNING-POINTS
STYNES, M
ORIORDAN, E
[J]. NUMERISCHE MATHEMATIK, 1989, 55 (05) : 521 - 544
[10] Valanarasu T, 2007, J APPL MATH COMPUT, V23, P141

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