Error bounds for asymptotic solutions of second-order linear difference equations
type: Item
instance of: scholarly article
title: Error bounds for asymptotic solutions of second-order linear difference equations
zbMATH Open document ID: 0855.39010
DOI: 10.1016/0377-0427(95)00218-9
author: Yanyan Li
published in: Journal of Computational and Applied Mathematics
publication date: 1997-02-17T00:00:00Z
review text: The authors establish in detail the error bounds for asymptotic solutions of the second order linear difference equation \[ y(n+2)+a(n) y(n+1)+b(n) y(n)=0 \] where \(a(n)\), \(b(n)\) have asymptotic expansions \[ a(n) \sim \sum^\infty_{s=0} {a_s \over n^s}, \quad b(n) \sim \sum^\infty_{s=0} {b_s \over n^s}, \quad n \to \infty. \] For related results see the paper of \textit{R. Wong} and \textit{H. Li} [J. Comput. Appl. Math. 41, No. 1-2, 65-94 (1992; Zbl 0758.39005)].
Mathematics Subject Classification ID: 39A11
Mathematics Subject Classification ID: 39A10
zbMATH DE Number: 910311
zbMATH Keywords: error bounds
zbMATH Keywords: asymptotic solutions
zbMATH Keywords: second order linear difference equation
MaRDI profile type: Publication
full work available at URL: 0377-0427(95)00218-9
OpenAlex ID: W2043682941
cites work: Q3207312
cites work: Q4059363
cites work: Asymptotic expansions for second-order linear difference equations
description: scientific article; zbMATH DE number 910311