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New applications of variational iteration method using Adomian polynomials

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Abstract

In this paper, we discuss a new application of the variational iteration method considering Adomian’s polynomials on nonlinear physical equations. Two models of interest in physics are considered and solved by means of the variational iteration method. The behavior of the variational iteration method and the effects of different values of t are investigated. Comparisons are made among the standard Adomian decomposition method, exact solutions, and the proposed method. He’s variational iteration method is introduced to overcome the difficulty arising in calculating the Adomian polynomial in Adomian decomposition method. The results reveal that the proposed method is very effective and simple and can be applied to other nonlinear problems.

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Authors and Affiliations

  1. Theoretical Research Group, Physics Department, Faculty of Science, Mansoura University, 35516, Mansoura, Egypt

    S. A. El-Wakil & M. A. Abdou

  2. Science Department, Faculty of Education for Girls, Bisha, Saudi Arabia

    M. A. Abdou

Authors
  1. S. A. El-Wakil
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  2. M. A. Abdou
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Correspondence to M. A. Abdou.

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El-Wakil, S.A., Abdou, M.A. New applications of variational iteration method using Adomian polynomials. Nonlinear Dyn 52, 41–49 (2008). https://doi.org/10.1007/s11071-007-9256-8

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  • DOI: https://doi.org/10.1007/s11071-007-9256-8

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