![](/images/graphics-bg.png)
Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations
Joint Authors
Yin, Fukang
Song, Junqiang
Lu, Fengshun
Cao, Xiaoqun
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-14
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Song, Junqiang& Yin, Fukang& Cao, Xiaoqun& Lu, Fengshun. 2013. Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-468542
Modern Language Association (MLA)
Song, Junqiang…[et al.]. Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-468542
American Medical Association (AMA)
Song, Junqiang& Yin, Fukang& Cao, Xiaoqun& Lu, Fengshun. Fractional Variational Iteration Method versus Adomian’s Decomposition Method in Some Fractional Partial Differential Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-468542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-468542