A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
type: Item
instance of: scholarly article
title: A parameter robust numerical method for a system of two singularly perturbed convection-diffusion equations
zbMATH Open document ID: 1059.65063
author: Yanyan Li
published in: Applied Numerical Mathematics
publication date: 2004-11-18T00:00:00Z
review text: The authors apply the analytical tools developed for a single singularly perturbed differential equation to a coupled system of two singularly perturbed ordinary differential equations. Such system is discretized using a numerical method, which is composed of an upwind finite difference operator on a piece-uniform Shishkin mesh. The mesh is composed of two transition points, which partition the domain into three subdomains. An asymptotic error bound for the numerical approximations is presented. Theoretical results are illustrated on a numerical example.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 2116189
zbMATH Keywords: system
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: upwind finite difference operator
zbMATH Keywords: error bound
zbMATH Keywords: numerical examples
zbMATH Keywords: singular perturbation
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
full work available at URL: j.apnum.2004.05.006
OpenAlex ID: W1990884820
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DOI: 10.1016/J.APNUM.2004.05.006
description: scientific article; zbMATH DE number 2116189