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Applying the fuzzy CESTAC method to find the optimal shape parameter in solving fuzzy differential equations via RBF-meshless methods

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Abstract

In this paper, by using the CESTAC method and the CADNA library a procedure is proposed to solve a fuzzy initial value problem based on RBF-meshless methods under generalized H-differentiability. So a reliable approach is presented to determine optimal shape parameter and number of points for RBF-meshless methods. The results reveal that the proposed method is very effective and simple. Also, the numerical accuracy of the method is shown in the tables and figures, and algorithms are given based on the stochastic arithmetic. The examples illustrate the efficiency and importance of using the stochastic arithmetic in place of the floating-point arithmetic.

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Authors and Affiliations

  1. Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, 19558-47881, Iran

    Hasan Barzegar Kelishami, Mohammad Ali Fariborzi Araghi & Majid Amirfakhrian

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  1. Hasan Barzegar Kelishami
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  2. Mohammad Ali Fariborzi Araghi
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  3. Majid Amirfakhrian
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Correspondence to Mohammad Ali Fariborzi Araghi.

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Barzegar Kelishami, H., Fariborzi Araghi, M.A. & Amirfakhrian, M. Applying the fuzzy CESTAC method to find the optimal shape parameter in solving fuzzy differential equations via RBF-meshless methods. Soft Comput 24, 15655–15670 (2020). https://doi.org/10.1007/s00500-020-04890-z

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