Stability analysis for a family of space one dimensional convection diffusion difference schemes
type: Item
instance of: scholarly article
title: Stability analysis for a family of space one dimensional convection diffusion difference schemes
zbMATH Open document ID: 0828.65106
DOI: 10.1007/BF03167378
author: Seiichiro Nagoya
author: Teruo Ushijima
published in: Japan Journal of Industrial and Applied Mathematics
publication date: 1996-01-10T00:00:00Z
review text: The author considers the numerical solution of the one dimensional convection diffusion equation. They develop a difference scheme involving five points for the spatial derivatives and a forward difference for the time derivative. These schemes involve a number of parameters, and diagrams are given to illustrate the stability regions of the schemes for various values of the parameters. The satisfaction of the von Neumann condition is discussed and the toughness of the scheme is investigated.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 780128
zbMATH Keywords: convection diffusion equation
zbMATH Keywords: difference scheme
zbMATH Keywords: stability regions
reviewed by: Ll. G. Chambers
MaRDI profile type: Publication
cites work: Q3714695
cites work: A stable and accurate convective modelling procedure based on quadratic upstream interpolation
cites work: Q5536978
cites work: Q5664923
full work available at URL: https://doi.org/10.1007/bf03167378
OpenAlex ID: W2085915002
description: scientific article; zbMATH DE number 780128