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.
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials / Pierluigi Amodio; Luigi Brugnano; Felice Iavernaro. - In: APPLIED MATHEMATICS LETTERS. - ISSN 0893-9659. - STAMPA. - 134:(2022), pp. 108338.1-108338.8. [10.1016/j.aml.2022.108338]
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials
Luigi Brugnano
;
2022
Abstract
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.
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