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2014 Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order
Asma Ali Elbeleze, Adem Kılıçman, Bachok M. Taib
Abstr. Appl. Anal. 2014(SI40): 1-11 (2014). DOI: 10.1155/2014/518343

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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Asma Ali Elbeleze. Adem Kılıçman. Bachok M. Taib. "Convergence of Variational Iteration Method for Solving Singular Partial Differential Equations of Fractional Order." Abstr. Appl. Anal. 2014 (SI40) 1 - 11, 2014. https://doi.org/10.1155/2014/518343

Information

Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022539
MathSciNet: MR3240545
Digital Object Identifier: 10.1155/2014/518343

Rights: Copyright © 2014 Hindawi

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Vol.2014 • No. SI40 • 2014
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