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Journal of Applied Mathematics and Computing

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01.10.2013 | Original Research

On the calculation of the finite Hankel transform eigenfunctions

verfasst von: P. Amodio, T. Levitina, G. Settanni, E. B. Weinmüller

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2013

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Abstract

In this work, we discuss the numerical computation of the eigenvalues and eigenfunctions of the finite (truncated) Hankel transform, important for numerous applications. Due to the very special behavior of the Hankel transform eigenfunctions, their direct numerical calculation often causes an essential loss of accuracy.

Here, we present several simple, efficient and robust numerical techniques to compute Hankel transform eigenfunctions via the associated singular self-adjoint Sturm-Liouville operator. The properties of the proposed approaches are compared and illustrated by means of numerical experiments.

Vorheriger Artikel Minimum 2-tuple dominating set of permutation graphs

Nächster Artikel Legendre Galerkin method for weakly singular Fredholm integral equations and the corresponding eigenvalue problem

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Titel: On the calculation of the finite Hankel transform eigenfunctions
verfasst von: P. Amodio
T. Levitina
G. Settanni
E. B. Weinmüller
Publikationsdatum: 01.10.2013
Verlag: Springer Berlin Heidelberg
Erschienen in: Journal of Applied Mathematics and Computing / Ausgabe 1-2/2013
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-013-0657-1

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