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Two-Dimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid Differential Equations

Author

Listed:
  • N. Shahryari

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran)

  • T. Allahviranloo

    (Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran†Faculty of Engineering and Natural Sciences, Istinye University, Istanbul, Turkey)

  • S. Abbasbandy

    (��Department of Mathematics, Imam Khomeini International University, Qazvin 34149-16818, Iran)

Abstract

In this paper, the fuzzy approximate solutions for the fuzzy Hybrid differential equation emphasizing the type of generalized Hukuhara differentiability of the solutions are obtained by using the two-dimensional Müntz–Legendre wavelet method. To do this, the fuzzy Hybrid differential equation is transformed into a system of linear algebraic equations in a matrix form. Thus, by solving this system, the unknown coefficients are obtained. The convergence of the proposed method is established in detail. Numerical results reveal that the two-dimensional Müntz–Legendre wavelet is very effective and convenient for solving the fuzzy Hybrid differential equation.

Suggested Citation

  • N. Shahryari & T. Allahviranloo & S. Abbasbandy, 2023. "Two-Dimensional Müntz–Legendre Wavelet Method for Fuzzy Hybrid Differential Equations," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 19(01), pages 173-193, March.
    • Handle: RePEc:wsi:nmncxx:v:19:y:2023:i:01:n:s1793005723500059
    DOI: 10.1142/S1793005723500059
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