Mathematical Problems in Engineering
Volume 2009 (2009), Article ID 690547, 17 pages
doi:10.1155/2009/690547
Research Article

Solving Nonlinear Boundary Value Problems Using He's Polynomials and Padé Approximants

Syed Tauseef Mohyud-Din1,2 and Ahmet Yildirim3

1Institute of Aerospace & Avionics, Air University, Sector E-9, 44000 Islamabad, Pakistan
2COMSATS Institute of Information Technology, Lahore, Pakistan
3Department of Mathematics, Science Faculty, Ege University, 35100 Bornova İzmir, Turkey

Received 5 August 2009; Accepted 12 September 2009

Academic Editor: Ji Huan He

Copyright © 2009 Syed Tauseef Mohyud-Din and Ahmet Yildirim. 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 apply He's polynomials coupled with the diagonal Padé approximants for solving various singular and nonsingular boundary value problems which arise in engineering and applied sciences. The diagonal Padé approximants prove to be very useful for the understanding of physical behavior of the solution. Numerical results reveal the complete reliability of the proposed combination.