NUMERICAL APPROXIMATION OF THE RIEMANN-LIOUVILLE FRACTIONAL INTEGRALS USING THE AKIMA SPLINE INTERPOLATION

被引：1

作者：

Grodzki, Grzegorz ^{[1
]}

机构：

[1] Czestochowa Tech Univ, Dept Comp Sci, Czestochowa, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2023年 / 22卷 / 04期

关键词：

fractional calculus; numerical integration; spline interpolation;

D O I：

10.17512/jamcm.2023.4.03

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：30 / 43

页数：14

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