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J. Kevorkian, J.D. Cole, Multiple Scale and Singular Perturbation Methods, Springer-Verlag, New York, 1996.

has been cited by the following article:

Article

A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems

1Department of Mathematics, National Institute of Technology, Jamshedpur, INDIA

2Department Mathematics, National Institute of Technology, Warangal, INDIA


American Journal of Applied Mathematics and Statistics. 2015, Vol. 3 No. 2, 49-53
DOI: 10.12691/ajams-3-2-1
Copyright © 2015 Science and Education Publishing

Cite this paper:
H.S. Prasad, Y.N. Reddy. A Fifth Order Compact Difference Method for Singularly Perturbed Singular Boundary Value Problems. American Journal of Applied Mathematics and Statistics. 2015; 3(2):49-53. doi: 10.12691/ajams-3-2-1.

Correspondence to: Y.N.  Reddy, Department Mathematics, National Institute of Technology, Warangal, INDIA. Email: ynreddy_nitw@yahoo.com

Abstract

In this paper, we have developed a fifth order compact difference method for a class of singularly perturbed singular two-point boundary value problems. To avoid the singularity at zero a terminal boundary condition in the implicit form is derived. Using this condition as one of the boundary condition we solve the singularly perturbed singular two-point boundary value problem by the fifth order compact difference scheme. Numerical results are presented to illustrate the proposed method and compared with exact solution.

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