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


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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