Solving nonlinear partial differential equations using the modified variational iteration Padé technique |
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| Authors: | Tamer A Abassy Magdy A El-Tawil H El Zoheiry |
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| Institution: | 1. Department of Basic Science, Benha Higher Institute of Technology, Benha University, 13512, Egypt;2. Department of Engineering Mathematics and Physics, Faculty of Engineering, Cairo University, Giza-Egypt |
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| 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. |
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| Keywords: | 34G20 41A21 35A15 |
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