Numerical approximation of the Riemann-Liouville fractional integrals using the akima spline interpolation

• Autorzy: Grodzki Grzegorz

Identyfikatory

DOI

10.17512/jamcm.2023.4.03

• Języki publikacji: EN

Abstrakty

EN

This paper presents the numerical algorithms for evaluating the values of the left- and right-sided Riemann-Liouville fractional integrals using the linear and Akima cubic spline interpolations. Sample numerical calculations have been performed based on the derived algorithms. The results are presented in two tables. Knowledge of the closed analytical expressions for sample fractional integrals makes it possible to determine the numerical errors and the experimental rates of convergence for each derived algorithm.

Słowa kluczowe

EN

fractional calculus; numerical integration; spline interpolation

PL

rachunek ułamkowy; całkowanie numeryczne; interpolacja

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2023
• Tom: Vol. 22, nr 4
• Strony: 30--43
• Opis fizyczny: Bibliogr. 23 poz., tab.

Twórcy

autor

Grodzki Grzegorz

• Department of Computer Science, Czestochowa University of Technology Czestochowa, Poland

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).