Tau-method approximations for the Bessel function \(Y_ 0 (z)\)
type: Item
instance of: scholarly article
title: Tau-method approximations for the Bessel function \(Y_ 0 (z)\)
zbMATH Open document ID: 0834.65004
DOI: 10.1016/0898-1221(95)00120-N
author: Jun Zhang
author: John A. Belward
publication date: 1996-03-31T00:00:00Z
review text: Let \(Y_0(z)\) be the Bessel function of the second type and order zero. The paper is devoted to the computation of \(Y_0 (z)\) by means of polynomial approximation in circular sectors. The authors apply the direct and integrated \(\tau\)-method using Faber polynomials as perturbation term to modify the Bessel differential equation. Numerical experiments related to the approximation of \(Y_0(z)\) for \(|z|\leq 8\) with six and two sectors covering the first quadrant of the complex plane, are reported in tables containing maximum and minimum absolute errors in different sectors.
Mathematics Subject Classification ID: 65D20
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65A05
Mathematics Subject Classification ID: 34B30
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 811383
zbMATH Keywords: tau-method
zbMATH Keywords: error bounds
zbMATH Keywords: numerical experiments
zbMATH Keywords: Bessel function
zbMATH Keywords: polynomial approximation
zbMATH Keywords: Faber polynomials
zbMATH Keywords: Bessel differential equation
zbMATH Keywords: tables
reviewed by: J. Illán
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 811383