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Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations


Citation

Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Note on the convergence analysis of homotopy perturbation method for fractional partial differential equations. Abstract and Applied Analysis, 2014. art. no. 803902. pp. 1-8. ISSN 1085-3375; ESSN: 1687-0409

Abstract

We apply the homotopy perturbation method to obtain the solution of partial differential equations of fractional order. This method is powerful tool to find exact and approximate solution of many linear and nonlinear partial differential equations of fractional order. Convergence of the method is proved and the convergence analysis is reliable enough to estimate the maximum absolute truncated error of the series solution. The fractional derivatives are described in the Caputo sense. Some examples are presented to verify convergence hypothesis and simplicity of the method.


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Additional Metadata

Item Type: Article
Divisions: Institute for Mathematical Research
Faculty of Science
DOI Number: https://doi.org/10.1155/2014/803902
Publisher: Hindawi Publishing Corporation
Keywords: Homotopy perturbation method; Partial differential equations; Fractional order
Depositing User: Nurul Ainie Mokhtar
Date Deposited: 18 Dec 2015 00:44
Last Modified: 19 Oct 2017 07:47
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/803902
URI: http://psasir.upm.edu.my/id/eprint/34669
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