Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation
Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=53189#.VLcfFMnQrzE Author(s) Amr M. S. Mahdy 1 , Adel S. Mohamed 1 , Ahmad A. H. Mtawa 2 Affiliation(s) 1 Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt . 2 Department of Mathematics, Faculty of Science, University of Benghazi, Benghazi, Libya . ABSTRACT In this paper, the homotopy perturbation Sumudu transform method (HPSTM) is extended to solve linear and nonlinear fractional Klein-Gordon equations. To illustrate the reliability of the method, some examples are presented. The convergence of the HPSTM solutions to the exact solutions is shown. As a novel application of homotopy perturbation Sumudu transform method, the presented work shows some essential differences with existing similar application, and also four classical examples highlight the significance of this work. KEYWORDS Mittag-Leffler Fun...