Uniformly convergent computational technique for singularly perturbed self-adjoint mixed boundary-value problems

被引：0

作者：

Bawa, RK ^{[1
]}

Natesan, S

机构：

[1] Punjabi Univ, Dept Comp Sci, Patiala 147002, Punjab, India

[2] Indian Inst Technol, Dept Math, Gauhati 781039, India

来源：

COMPUTATIONAL SCIENCE - ICCS 2005, PT 3 | 2005年 / 3516卷

关键词：

finite difference scheme; cubic splines; singular perturbation problems; piece-wise uniform meshes;

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, we propose a second-order parameter-uniform convergent hybrid scheme for self-adjoint singular perturbation problems (SPPs) subject to mixed (Robin) type conditions. The cubic spline baesd difference scheme is combined with the classical central difference scheme to obtain monotone scheme. Numerical example is-provided to support the theory.

引用

页码：1104 / 1107

页数：4

共 7 条

[1] A HYBRID ASYMPTOTIC-FINITE ELEMENT METHOD FOR STIFF 2-POINT BOUNDARY-VALUE-PROBLEMS
CHIN, RCY
KRASNY, R
[J]. SIAM JOURNAL ON SCIENTIFIC AND STATISTICAL COMPUTING, 1983, 4 (02): : 229 - 243
[2] Farrell P.A., 2000, Applied Mathematics (Boca Raton)
[3] Gracia JL, 2001, LECT NOTES COMPUT SC, V1988, P350
[4] Miller JJ, 2012, Fitted numerical methods for singular perturbation problems
[5] ON A DIFFERENTIAL EQUATION OF BOUNDARY LAYER TYPE
PEARSON, CE
[J]. JOURNAL OF MATHEMATICS AND PHYSICS, 1968, 47 (02): : 134 - &
[6] Roos HG, 1996, NUMERICAL METHODS SI
[7] STOJANOVIC M, 1988, PUBLICATIONS I MATH, V43, P155

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