Fractional Variational Iteration Method versus Adomian's Decomposition Method in Some Fractional Partial Differential Equations

被引：7

作者：

Song, Junqiang ^{[1
]}

Yin, Fukang ^{[1
]}

Cao, Xiaoqun ^{[1
]}

Lu, Fengshun ^{[2
]}

机构：

[1] Natl Univ Def Technol, Coll Comp, Changsha 410073, Hunan, Peoples R China

[2] China Aerodynam Res & Dev Ctr, Mianyang 621000, Sichuan, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

基金：

中国国家自然科学基金;

关键词：

HOMOTOPY PERTURBATION METHOD; COMPLEX TRANSFORM;

D O I：

10.1155/2013/392567

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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