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2012 A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders
A. M. A. El-Sayed, A. Elsaid, D. Hammad
J. Appl. Math. 2012: 1-13 (2012). DOI: 10.1155/2012/581481

Abstract

The reliable treatment of homotopy perturbation method (HPM) is applied to solve the Klein-Gordon partial differential equation of arbitrary (fractional) orders. This algorithm overcomes the difficulty that arises in calculating complicated integrals when solving nonlinear equations. Some numerical examples are presented to illustrate the efficiency of this technique.

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A. M. A. El-Sayed. A. Elsaid. D. Hammad. "A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders." J. Appl. Math. 2012 1 - 13, 2012. https://doi.org/10.1155/2012/581481

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1235.65148
MathSciNet: MR2889111
Digital Object Identifier: 10.1155/2012/581481

Rights: Copyright © 2012 Hindawi

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