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Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations
Journal article   Open access  Peer reviewed

Comparison between the homotopy perturbation method and the variational iteration method for linear fractional partial differential equations

Shaher Momani and Zaid Odibat
Computers & mathematics with applications (1987), Vol.54(7), pp.910-919
01/10/2007
DOI: https://doi.org/10.1016/j.camwa.2006.12.037

Abstract

Caputo derivative Fractional differential equations Homotopy perturbation method Time-fractional diffusion wave equation Time-fractional wave equation Variational iteration method
In this article, the homotopy perturbation method proposed by J.- H. He is adopted for solving linear fractional partial differential equations. The fractional derivatives are described in the Caputo sense. Comparison of the results obtained by the homotopy perturbation method with those obtained by the variational iteration method reveals that the present methods are very effective and convenient.
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https://doi.org/10.1016/j.camwa.2006.12.037View
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