English

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

Numerical Analysis 2022-07-27 v1 Numerical Analysis

Abstract

In this note we provide an algorithm for computing the fractional integrals of orthogonal polynomials, which is more stable than that using the expression of the polynomials w.r.t. the canonical basis. This algorithm is aimed at solving corresponding fractional differential equations. A few numerical examples are reported.

Keywords

Cite

@article{arxiv.2205.11182,
  title  = {A note on a stable algorithm for computing the fractional integrals of orthogonal polynomials},
  author = {P. Amodio and L. Brugnano and F. Iavernaro},
  journal= {arXiv preprint arXiv:2205.11182},
  year   = {2022}
}

Comments

8 pages, 3 figures

R2 v1 2026-06-24T11:25:27.076Z