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

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.

8 pages, 3 figures

References in corpus (2)

• Trapezoidal methods for fractional differential equations: theoretical and computational aspects
• Arbitrarily high-order energy-conserving methods for Poisson problems

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