Laguerre projection method for finite Hankel transform of arbitrary order

Article

DOI: 10.3103/S0278641910040011

Cite this article as:
Sorokin, D.V. & Krylov, A.S. MoscowUniv.Comput.Math.Cybern. (2010) 34: 149. doi:10.3103/S0278641910040011
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Abstract

We propose a modification of the projection method for the problem of inverting finite Hankel transform of arbitrary order. In expanding the solution of an integral equation of the first kind, eigenfunctions corresponding to eigenvalues close to the multiple are replaced with Laguerre functions. These functions are eigenfunctions of Hankel transform on the half-line. Our test calculations demonstrated the effectiveness of the elaborated method.

Keywords

Hankel transform projection method Laguerre functions 

Copyright information

© Allerton Press, Inc. 2010

Authors and Affiliations

  1. 1.Department of Computational Mathematics and CyberneticsMoscow State UniversityMoscowRussia

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