Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation

• 作者: Adel S. Mohamed Ahmad A. H. Mtawa Amr M. S. Mahdy
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: Mittag-Leffler Functions Caputo DERIVATIVE Sumudu TRANSFORM HOMOTOPY PERTURBATION Method KLEIN-GORDON Equation
• 年，卷（期）: yysxyw_2015,（3）
• 页码范围: 617-628
• 页数: 12页
• 分类号: O1

摘要

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.