Error estimation for a numerical solution to a boundary value problem with a boundary layer
type: Item
instance of: scholarly article
title: Error estimation for a numerical solution to a boundary value problem with a boundary layer
zbMATH Open document ID: 0946.65060
author: T. A. Yakubenko
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-04-05T00:00:00Z
review text: The paper is devoted to a boundary value problem for a second-order ordinary differential equation with a small parameter at the highest-order derivative and moderately smooth coefficients. A method for solving this problem on a nonuniform grid condensing in a boundary layer is analyzed. An optimal error estimate that is uniform with respect to the parameter is obtained for a numerical solution. The analysis is essentially based on transition to a close problem with smooth coefficients.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 1427851
zbMATH Keywords: second-order ordinary differential equation
zbMATH Keywords: difference method
zbMATH Keywords: singular perturbation
zbMATH Keywords: small parameter
zbMATH Keywords: boundary layer
zbMATH Keywords: error estimate
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1427851