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Euler method for solving hybrid fuzzy differential equation

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Abstract

In this paper, we study the numerical method for solving hybrid fuzzy differential using Euler method under generalized Hukuhara differentiability. To this end, we determine the Euler method for both cases of H-differentiability. Also, the convergence of the proposed method is studied and the characteristic theorem is given for both cases. Finally, some numerical examples are given to illustrate the efficiency of the proposed method under generalized Hukuhara differentiability instead of suing Hukuhara differentiability.

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Authors and Affiliations

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

    T. Allahviranloo

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

    S. Salahshour

Authors
  1. T. Allahviranloo
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  2. S. Salahshour
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Correspondence to T. Allahviranloo.

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Allahviranloo, T., Salahshour, S. Euler method for solving hybrid fuzzy differential equation. Soft Comput 15, 1247–1253 (2011). https://doi.org/10.1007/s00500-010-0659-y

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