4.7 Article

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

期刊

COMPUTERS & MATHEMATICS WITH APPLICATIONS
卷 54, 期 7-8, 页码 910-919

出版社

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2006.12.037

关键词

variational iteration method; homotopy perturbation method; fractional differential equations; time-fractional diffusion waveequation; time-fractional wave equation; Caputo derivative

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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. (c) 2007 Elsevier Ltd. All rights reserved.

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