The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes
type: Item
instance of: scholarly article
title: The Green function and a priori estimates of solutions of monotone three-point singularly perturbed finite-difference schemes
zbMATH Open document ID: 0999.65079
DOI: 10.1023/A:1011949419389
published in: Differential Equations
publication date: 2002-12-05T00:00:00Z
review text: The author considers second-order Sturm-Liouville differential equations with a small parameter multiplying the second order differential term. The finite difference analogues are formulated and Green's functions are developed. Bounds for the norms of the solutions are obtained in terms of the norms of the exciting functions. The analysis is given for analogues with the differences being arbitrarily non-uniform.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B24
zbMATH DE Number: 1758767
zbMATH Keywords: error bounds
zbMATH Keywords: singular perturbation
zbMATH Keywords: second-order Sturm-Liouville differential equations
zbMATH Keywords: small parameter
zbMATH Keywords: finite difference
zbMATH Keywords: Green's functions
author: Vladimir B. Andreev
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
full work available at URL: a:1011949419389
OpenAlex ID: W314286854
description: scientific article; zbMATH DE number 1758767