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2013 Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations
Junqiang Song, Fukang Yin, Xiaoqun Cao, Fengshun Lu
J. Appl. Math. 2013: 1-10 (2013). DOI: 10.1155/2013/392567

Abstract

A comparative study is presented about the Adomian’s decomposition method (ADM), variational iteration method (VIM), and fractional variational iteration method (FVIM) in dealing with fractional partial differential equations (FPDEs). The study outlines the significant features of the ADM and FVIM methods. It is found that FVIM is identical to ADM in certain scenarios. Numerical results from three examples demonstrate that FVIM has similar efficiency, convenience, and accuracy like ADM. Moreover, the approximate series are also part of the exact solution while not requiring the evaluation of the Adomian’s polynomials.

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Junqiang Song. Fukang Yin. Xiaoqun Cao. Fengshun Lu. "Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations." J. Appl. Math. 2013 1 - 10, 2013. https://doi.org/10.1155/2013/392567

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 1266.35141
MathSciNet: MR3032203
Digital Object Identifier: 10.1155/2013/392567

Rights: Copyright © 2013 Hindawi

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