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A modified Euler method for solving fuzzy differential equations under generalized differentiability

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Abstract

In this paper, we intend to introduce a modified approach for solving fuzzy differential equations (FDEs) under generalized differentiability. Modified Euler method estimated FDEs by using a two-stage predictor–corrector algorithm with local truncation error of order two. The consistency, convergence, and stability of the proposed method are also investigated in detail. The acceptable accuracy of the Modified Euler method is illustrated by some examples.

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Authors and Affiliations

  1. Department of Mathematics, Varamin-Pishva Branch, Islamic Azad University, Varamin, Iran

    N. Ahmady

  2. Faculty of Engineering and Natural Sciences, Bahcesehir University, Istanbul, Turkey

    T. Allahviranloo

  3. Department of Mathematics, Shahr-e-Qods Branch, Islamic Azad University, Tehran, Iran

    E. Ahmady

Authors
  1. N. Ahmady
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  2. T. Allahviranloo
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  3. E. Ahmady
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Correspondence to N. Ahmady.

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Communicated by Leonardo Tomazeli Duarte.

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Ahmady, N., Allahviranloo, T. & Ahmady, E. A modified Euler method for solving fuzzy differential equations under generalized differentiability. Comp. Appl. Math. 39, 104 (2020). https://doi.org/10.1007/s40314-020-1112-1

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  • DOI: https://doi.org/10.1007/s40314-020-1112-1

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