A moving collocation method for solving time dependent partial differential equations
type: Item
instance of: scholarly article
title: A moving collocation method for solving time dependent partial differential equations
zbMATH Open document ID: 0859.65112
DOI: 10.1016/0168-9274(95)00119-0
author: Weizhang Huang
author: Robert D. Russell
published in: Applied Numerical Mathematics
publication date: 1997-04-15T00:00:00Z
review text: The paper is concerned with a method for solving time dependent partial differential equations written in divergence form which combines a cell averaging Hermitian collocation with a finite difference approximation to the equidistribution principle. The method is tested against one-dimensional problems described by Burgers' equation, a flame propagation model and the Euler equations. It is stated that more accurate results for moderate numbers of mesh points are obtained as compared with those for fixed meshes.
Mathematics Subject Classification ID: 65M70
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M50
Mathematics Subject Classification ID: 35L70
Mathematics Subject Classification ID: 35Q53
zbMATH DE Number: 897532
zbMATH Keywords: moving meshes
zbMATH Keywords: equidistribution
zbMATH Keywords: Hermitian collocation
zbMATH Keywords: finite difference
zbMATH Keywords: Burgers' equation
zbMATH Keywords: flame propagation
zbMATH Keywords: Euler equations
reviewed by: A. I. Tolstykh
describes a project that uses: PDECOL
describes a project that uses: DASSL
describes a project that uses: MOVCOL
describes a project that uses: COLSYS
describes a project that uses: PDECHEB
MaRDI profile type: Publication
full work available at URL: 0168-9274(95)00119-0
OpenAlex ID: W2012270170
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description: scientific article; zbMATH DE number 897532