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Mathematical Problems in Engineering
Volume 2015, Article ID 671527, 7 pages
Research Article

A Simple Modification of Homotopy Perturbation Method for the Solution of Blasius Equation in Semi-Infinite Domains

1Young Researchers and Elite Club, Islamic Azad University, Ilkhchi Branch, Ilkhchi, Iran
2Department of Civil Engineering, University of Malaya, 50603 Kuala Lumpur, Malaysia
3Department of Civil Engineering, University of Tabriz, Tabriz, Iran

Received 8 July 2015; Revised 28 August 2015; Accepted 9 September 2015

Academic Editor: Gerhard-Wilhelm Weber

Copyright © 2015 M. Aghakhani 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.


A simple modification of the homotopy perturbation method is proposed for the solution of the Blasius equation with two different boundary conditions. Padé approximate is used to deal with the boundary condition at infinity. The results obtained from the analytical method are compared to Howarth’s numerical solution and fifth order Runge-Kutta Fehlberg method indicating a very good agreement. The proposed method is a simple and reliable modification of homotopy perturbation method, which does not require the existence of a small parameter, linearization of the equation, or computation of Adomian’s polynomials.