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

Moghaddam B. P., Machado J. A. T.

Fundamenta Informaticae

2017

Vol. 151, nr 1/4

293--311

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.