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T.Valanarasu, N.Ramanjam, Asymptotic initial-value method for singularly perturbed boundary value problems for second order ordinary differential equations, Journal of Optimization Theory and Applications, 116 (2003), 167-182.

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Article

Initial Value Technique for Singular Perturbation Boundary Value Problems

1Department of Mathematics, Jaypee University of Engineering & Technology, Raghogarh, Guna(M.P) India


American Journal of Numerical Analysis. 2014, Vol. 2 No. 2, 49-54
DOI: 10.12691/ajna-2-2-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Hradyesh Kumar Mishra. Initial Value Technique for Singular Perturbation Boundary Value Problems. American Journal of Numerical Analysis. 2014; 2(2):49-54. doi: 10.12691/ajna-2-2-3.

Correspondence to: Hradyesh  Kumar Mishra, Department of Mathematics, Jaypee University of Engineering & Technology, Raghogarh, Guna(M.P) India. Email: hk.mishra@jiet.ac.in, hkm1975@yahoo.co.in

Abstract

In this paper, an initial-value approach is presented for solving singularly perturbed two-point boundary value problems with the boundary layer at left end point. The given singularly perturbed two-point boundary value problems replaced by first-order problem. This first-order problem is solved by classical Runge- Kutta method. Numerical examples have been solved to demonstrate the applicability of the method. Graphs are shown in support of results.

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