SM-Algorithms for Approximating the Variable-Order Fractional Derivative of High Order

• Autorzy: Moghaddam B. P. , Machado J. A. T.

Identyfikatory

DOI

10.3233/FI-2017-1493

• Języki publikacji: EN

Abstrakty

EN

In this paper we discuss different definitions of variable-order derivatives of high order and we propose accurate and robust algorithms for their approximate calculation. The proposed algorithms are based on finite difference approximations and B-spline interpolation. We compare the performance of the algorithms by experimental convergence order. Numerical examples are presented demonstrating the efficiency and accuracy of the proposed algorithms.

Słowa kluczowe

EN

fractional calculus; variable-order derivative; spline approximation; finite difference approximation; convergence order; numerical method

• Wydawca: IOS Press
• Czasopismo: Fundamenta Informaticae
• Rocznik: 2017
• Tom: Vol. 151, nr 1/4
• Strony: 293--311
• Opis fizyczny: Bibliogr. 42 poz., tab., wykr.

Twórcy

autor

Moghaddam B. P.

• Department of Mathematics, Lahijan Branch, Islamic Azad University, Lahijan, Iran

autor

Machado J. A. T.

• Department of Electrical Engineering, Institute of Engineering, Rua Dr. António Bernardino de Almeida, 431, Porto 4249-015, Portugal

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