Advances in Decision Sciences
Volume 2008 (2008), Article ID 605064, 10 pages
doi:10.1155/2008/605064

Analytic solution of multipantograph equation

Fadi Awawdeh1 , Ahmad Adawi1 and Safwan Al-Shara'3

1Department of Mathematics, Hashemite University, Zarqa 13115, Jordan
3Department of Mathematics, Tafila Technical University, Tafila 66110, Jordan

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.