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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear 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.1-11, 11 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-26
Country of Publication
Egypt
No. of Pages
11
Main Subjects
Abstract EN
This paper develops a modified variational iteration method coupled with the Legendre wavelets, which can be used for the efficient numerical solution of nonlinear partial differential equations (PDEs).
The approximate solutions of PDEs are calculated in the form of a series whose components are computed by applying a recursive relation.
Block pulse functions are used to calculate the Legendre wavelets coefficient matrices of the nonlinear terms.
The main advantage of the new method is that it can avoid solving the nonlinear algebraic system and symbolic computation.
Furthermore, the developed vector-matrix form makes it computationally efficient.
The results show that the proposed method is very effective and easy to implement.
American Psychological Association (APA)
Yin, Fukang& Song, Junqiang& Cao, Xiaoqun& Lu, Fengshun. 2013. Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-450428
Modern Language Association (MLA)
Yin, Fukang…[et al.]. Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations. Journal of Applied Mathematics No. 2013 (2013), pp.1-11.
https://search.emarefa.net/detail/BIM-450428
American Medical Association (AMA)
Yin, Fukang& Song, Junqiang& Cao, Xiaoqun& Lu, Fengshun. Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-11.
https://search.emarefa.net/detail/BIM-450428
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-450428