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M. Van Dyke, Perturbation Methods in Fluid Mechanics, Academic Press, New York, 1964.

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Article

Initial Value Method Extended for General Singular Perturbation Problems

1Department of Mathematics, Osmania University College For Women, Hyderabad, Telangana, India

2Department of Mathematics, National Institute of Technology, Warangal, Telangana, India


American Journal of Numerical Analysis. 2015, Vol. 3 No. 1, 25-29
DOI: 10.12691/ajna-3-1-4
Copyright © 2015 Science and Education Publishing

Cite this paper:
Loka Pavani, Y. N. Reddy. Initial Value Method Extended for General Singular Perturbation Problems. American Journal of Numerical Analysis. 2015; 3(1):25-29. doi: 10.12691/ajna-3-1-4.

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

Abstract

In this paper the initial value method is extended for solving singularly perturbed two point boundary value problems with internal and terminal layers. It is distinguished by the following fact: The given singularly perturbed boundary value problem is replaced by two first order initial value problems. These first order problems are solved using Runge Kutta method. Model example for each is solved to demonstrate the applicability of the method.

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