Numerical algorithms for approximation of fractional integral operators based on quadratic interpolation

被引：14

作者：

Blaszczyk, Tomasz ^{[1
]}

Siedlecki, Jaroslaw ^{[1
]}

Ciesielski, Mariusz ^{[2
]}

机构：

[1] Czestochowa Tech Univ, Inst Math, Al Armii Krajowej 21, PL-42200 Czestochowa, Poland

[2] Czestochowa Tech Univ, Inst Comp & Informat Sci, Dabrowskiego 73, PL-42200 Czestochowa, Poland

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2018年 / 41卷 / 09期

关键词：

fractional integrals; numerical algorithms; quadratic interpolation; Simpson's rule; HEAT-CONDUCTION; EQUATION;

D O I：

10.1002/mma.4828

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present numerical algorithms calculating compositions of the left and right fractional integrals. We apply quadratic interpolation and obtain the fractional Simpson's rule. We estimate the local truncation error of the proposed approximations, calculate errors generated by presented algorithms, and determine the experimental rate of convergence. Finally, we show examples of numerical evaluation of these operators.

引用

页码：3345 / 3355

页数：11

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