A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials

被引：5
作者：
Amodio, Pierluigi [1 ]
Brugnano, Luigi [2 ]
Iavernaro, Felice [1 ]
机构：
[1] Univ Bari, Dipartimento Matemat, Bari, Italy
[2] Univ Firenze, Dipartimento Matemat & Informat U Dini, Florence, Italy
来源：
APPLIED MATHEMATICS LETTERS | 2022年 / 134卷
关键词：
Fractional differential equations; Fractional integrals; Orthogonal polynomials; Legendre polynomials; Chebyshev polynomials;
D O I：
10.1016/j.aml.2022.108338
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this note we provide an algorithm for computing the fractional integrals of orthogonal polynomials, which is more stable than the one based on the expansion of the polynomials w.r.t. the canonical basis. This algorithm is aimed at solving corresponding fractional differential equations. A few numerical illustrations are reported. (C) 2022 Elsevier Ltd. All rights reserved.
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页数：8
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