A note on convergence of line iterative methods for a nine-point matrix
type: Item
instance of: scholarly article
title: A note on convergence of line iterative methods for a nine-point matrix
zbMATH Open document ID: 1020.65076
DOI: 10.1016/S0893-9659(01)00164-1
author: Samir Karaa
author: Jun Zhang
published in: Applied Mathematics Letters
publication date: 2003-03-10T00:00:00Z
review text: The authors consider the special convection-diffusion equation, \(-\varepsilon\Delta u+u_x=f\), with unit convection velocity parallel to the \(x\)-coordinate direction. The domain of interest is the unit square and the equation is discretized with uniform square mesh elements with side length \(h\). The critical parameter is the so-called cell Reynolds number \(\gamma=h/(2\varepsilon)\). The authors employ a fourth order difference scheme due to \textit{M. M. Gupta, R. P. Manohar} and \textit{J. W. Stephenson} [Numerical properties and methodologies in heat transfer, Proc. 2nd nat. Symp., College Park, Md. 1981, 201-209 (1983; Zbl 0515.76097)].
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65F10
zbMATH DE Number: 1878880
zbMATH Keywords: convection diffusion equation
zbMATH Keywords: fourth order compact scheme
zbMATH Keywords: line Jacobi method
zbMATH Keywords: line Gauss-Seidel method
zbMATH Keywords: convergence
zbMATH Keywords: line iterative methods
zbMATH Keywords: difference scheme
reviewed by: Myron Sussman
MaRDI profile type: Publication
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full work available at URL: s0893-9659(01)00164-1
OpenAlex ID: W1974644985
description: scientific article; zbMATH DE number 1878880