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Convergence of variational iteration method for solving singular partial differential equations of fractional order


Citation

Elbeleze, Asma Ali and Kilicman, Adem and M. Taib, Bachok (2014) Convergence of variational iteration method for solving singular partial differential equations of fractional order. Abstract and Applied Analysis, 2014. art. no. 518343. pp. 1-11. ISSN 1085-3375; ESSN: 1687-0409

Abstract

We are concerned here with singular partial differential equations of fractional order (FSPDEs). The variational iteration method (VIM) is applied to obtain approximate solutions of this type of equations. Convergence analysis of the VIM is discussed. This analysis is used to estimate the maximum absolute truncated error of the series solution. A comparison between the results of VIM solutions and exact solution is given. The fractional derivatives are described in Caputo sense.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1155/2014/518343
Publisher: Hindawi Publishing Corporation
Keywords: Variational iteration method (VIM); Singular partial differential equations of fractional order
Depositing User: Nabilah Mustapa
Date Deposited: 24 May 2015 02:31
Last Modified: 19 Oct 2017 07:43
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1155/2014/518343
URI: http://psasir.upm.edu.my/id/eprint/36912
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