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Erschienen in: Soft Computing 20/2020

09.05.2020 | Methodologies and Application

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

verfasst von: Hasan Barzegar Kelishami, Mohammad Ali Fariborzi Araghi, Majid Amirfakhrian

Erschienen in: Soft Computing | Ausgabe 20/2020

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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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Metadaten
Titel
Applying the fuzzy CESTAC method to find the optimal shape parameter in solving fuzzy differential equations via RBF-meshless methods
verfasst von
Hasan Barzegar Kelishami
Mohammad Ali Fariborzi Araghi
Majid Amirfakhrian
Publikationsdatum
09.05.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Soft Computing / Ausgabe 20/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-020-04890-z

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