Mathematical Problems in Engineering
Volume 2011 (2011), Article ID 250184, 14 pages
http://dx.doi.org/10.1155/2011/250184
Research Article

An Efficient Method for Solving System of Third-Order Nonlinear Boundary Value Problems

Muhammad Noor,1,2 Khalida Noor,1 Asif Waheed,1 and Eisa A. Al-Said2

1Department of Mathematics, COMSATS Institute of Information Technology, Park Road, Chak Shahzad, Islamabad, Pakistan
2Mathematics Department, College of Science, King Saud University, Riyadh, Saudi Arabia

Received 24 November 2010; Accepted 13 April 2011

Academic Editor: P. Liatsis

Copyright © 2011 Muhammad Noor 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

we use the modified variation of parameters method for finding the analytical solution of a system of third-order nonlinear boundary value problems associated with obstacle, unilateral, and contact problems. The results are calculated in terms of convergent series with easily computable components. The suggested technique is applied without any discretization, perturbation, transformation, and restrictive assumptions. Moreover, it is free from round off errors. Some examples are given to illustrate the implementation and efficiency of the modified variation of parameters method.