Applied Mathematics

Volume 6, Issue 3 (March 2015)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.76  Citations  

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

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DOI: 10.4236/am.2015.63056    4,672 Downloads   5,385 Views   Citations

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.

Cite this paper

Mahdy, A. , Mohamed, A. and Mtawa, A. (2015) Implementation of the Homotopy Perturbation Sumudu Transform Method for Solving Klein-Gordon Equation. Applied Mathematics, 6, 617-628. doi: 10.4236/am.2015.63056.

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