Journal of Applied Mathematics and Decision Sciences
Volume 2008 (2008), Article ID 605064, 10 pages
doi:10.1155/2008/605064
Research Article

Analytic Solution of Multipantograph Equation

Fadi Awawdeh,1 Ahmad Adawi,1 and Safwan Al-Shara'2

1Department of Mathematics, Hashemite University, Zarqa 13115, Jordan
2Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan

Received 19 May 2008; Accepted 25 September 2008

Academic Editor: Graham Wood

Copyright © 2008 Fadi Awawdeh 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 apply the homotopy analysis method (HAM) for solving the multipantograph equation. The analytical results have been obtained in terms of convergent series with easily computable components. Several examples are given to illustrate the efficiency and implementation of the homotopy analysis method. Comparisons are made to confirm the reliability of the homotopy analysis method.