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Solving nonlinear partial differential equations using the modified variational iteration Padé technique

Authors :
Tamer A. Abassy
Magdy A. El-Tawil
H. El Zoheiry
Source :
Journal of Computational and Applied Mathematics. (1):73-91
Publisher :
Elsevier B.V.

Abstract

In this paper, the modified variational iteration method (MVIM) is reintroduced with the enhancement of Padé approximants to lengthen the interval of convergence of VIM or MVIM when used alone in solving nonlinear problems. KdV, mKdV, Burger's and Lax's equations are used as examples to illustrate the effectiveness and convenience of the proposed technique.

Details

Language :
English
ISSN :
03770427
Issue :
1
Database :
OpenAIRE
Journal :
Journal of Computational and Applied Mathematics
Accession number :
edsair.doi.dedup.....478cf25fb4778239385a6283331a1a71
Full Text :
https://doi.org/10.1016/j.cam.2006.07.024