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

Authors:
Tamer A. Abassy;Magdy A. El-Tawil;H. El Zoheiry
Affiliations:
Department of Basic Science, Benha Higher Institute of Technology, Benha University, 13512, Egypt;Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza-Egypt;Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza-Egypt
Venue:
Journal of Computational and Applied Mathematics
Year:
2007

Citing 2
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Abstract

In this paper, the modified variational iteration method (MVIM) is reintroduced with the enhancement of Pade 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.