Table of Contents
Journal of Computational Methods in Physics
Volume 2013, Article ID 939143, 10 pages
http://dx.doi.org/10.1155/2013/939143
Research Article

A New Spectral-Homotopy Perturbation Method and Its Application to Jeffery-Hamel Nanofluid Flow with High Magnetic Field

Faculty of Technology of Mathematical Sciences and Statistics, Alneelain University, Algamhoria Street, P.O. Box 12702, Khartoum, Sudan

Received 23 May 2013; Revised 20 November 2013; Accepted 4 December 2013

Academic Editor: Ali Cemal Benim

Copyright © 2013 Ahmed A. Khidir. 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 present a new modification of the homotopy perturbation method (HPM) for solving nonlinear boundary value problems. The technique is based on the standard homotopy perturbation method, and blending of the Chebyshev pseudospectral methods. The implementation of the new approach is demonstrated by solving the Jeffery-Hamel flow considering the effects of magnetic field and nanoparticle. Comparisons are made between the proposed technique, the standard homotopy perturbation method, and the numerical solutions to demonstrate the applicability, validity, and high accuracy of the present approach. The results demonstrate that the new modification is more efficient and converges faster than the standard homotopy perturbation method.