Toward a modified variational iteration method

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

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Abstract

The variational iteration method (VIM) attracted much attention in the past few years as a promising method for solving nonlinear differential equations. It is shown in this paper that the application of VIM to a special kind of nonlinear differential equations leads to calculation of unneeded terms and more time consumed in repeated calculations for series solutions. A modified VIM is introduced to eliminate the shortcomings; and its effectiveness is illustrated by some examples.