TITLE:
Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation
AUTHORS:
Amr M. S. Mahdy, Adel S. Mohamed, Ahmad A. H. Mtawa
KEYWORDS:
Mittag-Leffler Functions, Caputo Derivative, Sumudu Transform, Homotopy Perturbation Method, Klein-Gordon Equation
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.3,
March
24,
2015
ABSTRACT: This paper extends the homotopy perturbation Sumudu transform method (HPSTM) 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 showed some essential difference with existing similar application four classical examples also highlighted the significance of this work.