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A Reliable Treatment of Homotopy Perturbation Method for Solving the Nonlinear Klein-Gordon Equation of Arbitrary (Fractional) Orders
Journal article   Open access  Peer reviewed

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 and D. Hammad
Journal of applied mathematics, Vol.2012, pp.1-13
01/01/2012
DOI: https://doi.org/10.1155/2012/581481

Abstract

Mathematics Mathematics, Applied Mathematics, Interdisciplinary Applications Physical Sciences Science & Technology
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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https://doi.org/10.1155/2012/581481View
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