Stable RBF-RA method for solving fuzzy fractional kinetic equation
by Hossein Jafari; Behshid Fakhr Kazemi
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 2, 2022

Abstract: The direct method based on the flat radial basis functions (RBFs) for obtaining numerical solution of differential equations is highly ill-conditioned. Therefore, many studies have been dedicated to overcome this ill-conditioning by using different techniques. Here, the RBF algorithm based on vector-valued rational approximations is utilised to obtain the numerical solution of fuzzy fractional differential equations. This stable method can be applied with any sort of smooth RBF easily and accurately. To illustrate the accuracy and stability of the presented algorithm, we focus on solving the kinetic model with fuzzy fractional derivative.

Online publication date: Mon, 20-Jun-2022

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