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.
A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials
Pierluigi Amodio;Felice Iavernaro
2022-01-01
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. (C) 2022 Elsevier Ltd. All rights reserved.File in questo prodotto:
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