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Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method

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Abstract

In this paper, the fuzzy variational iteration method is proposed to solve the nonlinear fuzzy differential equation (NFDE). The convergence and the maximum absolute truncation error of the proposed method are proved in details. Some examples are investigated to verify convergence results and to illustrate the efficiently of the method.

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Authors and Affiliations

  1. Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran

    T. Allahviranloo & S. Abbasbandy

  2. Department of Mathematics, Islamic Azad University, Qazvin Branch, Qazvin, Iran

    Sh. S. Behzadi

Authors
  1. T. Allahviranloo
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  2. S. Abbasbandy
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  3. Sh. S. Behzadi
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Corresponding author

Correspondence to Sh. S. Behzadi.

Additional information

Communicated by G. Acampora.

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Allahviranloo, T., Abbasbandy, S. & Behzadi, S.S. Solving nonlinear fuzzy differential equations by using fuzzy variational iteration method. Soft Comput 18, 2191–2200 (2014). https://doi.org/10.1007/s00500-013-1193-5

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  • DOI: https://doi.org/10.1007/s00500-013-1193-5

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