A high-resolution finite-difference scheme for nonuniform grids
type: Item
instance of: scholarly article
title: A high-resolution finite-difference scheme for nonuniform grids
zbMATH Open document ID: 0827.65087
DOI: 10.1016/0307-904X(94)00020-7
author: Jianchun Liu
author: Gary A. Pope
author: K. Sepehrnoori
published in: Applied Mathematical Modelling
publication date: 1995-07-25T00:00:00Z
review text: The authors derive a higher-order, high-resolution finite-difference scheme for nonuniform grids. These formulas are rigorously derived from Taylor series expansion at nonuniform grid points and they can be applied to approximate first and second spatial derivatives. Based on these formulas, finite difference schemes are constructed with the total variation diminishing constraint applied. The schemes are applied to the one-dimensional convection-diffusion equation and to the two-dimensional nonlinear Burgers equation.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65N50
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35J25
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 770405
zbMATH Keywords: finite-difference scheme
zbMATH Keywords: nonuniform grids
zbMATH Keywords: Taylor series expansion
zbMATH Keywords: total variation diminishing
zbMATH Keywords: convection-diffusion equation
zbMATH Keywords: nonlinear Burgers equation
reviewed by: Karel Najzar
MaRDI profile type: Publication
cites work: Q3998930
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description: scientific article; zbMATH DE number 770405