Numerical solution of an equation with a small parameter on an infinite interval
type: Item
instance of: scholarly article
title: Numerical solution of an equation with a small parameter on an infinite interval
zbMATH Open document ID: 0969.65073
author: A. I. Zadorin
published in: Computational Mathematics and Mathematical Physics
publication date: 2000-07-30T00:00:00Z
review text: The author considers linear and nonlinear second-order ordinary differential equations that contain a small parameter multiplying the highest order derivative on the semiaxis. A transition to a finite interval is performed, and the error arising from this transition is estimated. The uniform convergence of an upwind difference scheme for the reduced problem is substantiated.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 1472992
zbMATH Keywords: nonlinear second-order differential equation
zbMATH Keywords: small parameter
zbMATH Keywords: singular perturbation
zbMATH Keywords: error bound
zbMATH Keywords: difference scheme
zbMATH Keywords: convergence
zbMATH Keywords: infinite interval
reviewed by: A. Tret'yakov
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1472992