Journal of Applied Mathematics
Volume 2013 (2013), Article ID 468909, 8 pages
http://dx.doi.org/10.1155/2013/468909
Research Article

Numerical Scheme for Solving Singular Two-Point Boundary Value Problems

N. Ratib Anakira,1 A. K. Alomari,2 and I. Hashim1

1School of Mathematical Sciences, Universiti Kebangsaan Malaysia, 43600 Bangi, Selangor, Malaysia
2Department of Mathematics, Faculty of Science, Hashemite University, 13115 Zarqa, Jordan

Received 25 December 2012; Revised 5 March 2013; Accepted 11 March 2013

Academic Editor: Saeid Abbasbandy

Copyright © 2013 N. Ratib Anakira et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

Singular two-point boundary value problems (BVPs) are investigated using a new technique, namely, optimal homotopy asymptotic method (OHAM). OHAM provides a convenient way of controlling the convergence region and it does not need to identify an auxiliary parameter. The effectiveness of the method is investigated by comparing the results obtained with the exact solution, which proves the reliability of the method.