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C. M. Bender and S. A. Orszag, “Advanced Mathematical Methods for Scientists and Engineers,” McGraw-Hill, New York, 1978.

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Article

Variational Iteration Method for a Singular Perturbation Boundary Value Problems

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


American Journal of Numerical Analysis. 2014, Vol. 2 No. 4, 102-106
DOI: 10.12691/ajna-2-4-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Hradyesh Kumar Mishra, Sonali saini. Variational Iteration Method for a Singular Perturbation Boundary Value Problems. American Journal of Numerical Analysis. 2014; 2(4):102-106. doi: 10.12691/ajna-2-4-2.

Correspondence to: Sonali  saini, Department of Mathematics, Jaypee University of Engineering & Technology, Guna (M.P), India. Email: hk.mishra@juet.ac.in, sonali.saini1386@gmail.com

Abstract

In this paper, the author used He’s variational iteration method for solving singularly perturbed two-point boundary value problems. Few examples are solved to demonstrate the applicability of the method. It is observed that a good choice of the freely selected initial approximation in the variational iteration method leads to closed form solutions by using only one or two iterations. It is also observed that the variational iteration method can be easily applied to the initial and boundary value problems. Graphs are also plotted for the numerical examples.

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