High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients
type: Item
instance of: scholarly article
title: High accuracy difference schemes for a class of three space dimensional singular parabolic equations with variable coefficients
zbMATH Open document ID: 0904.65085
DOI: 10.1016/S0377-0427(97)00223-9
published in: Journal of Computational and Applied Mathematics
publication date: 1999-01-26T00:00:00Z
review text: Finite difference schemes for the three-dimensional heat conduction equation and the unsteady Navier-Stokes equations in polar coordinates are developed. The schemes enjoy second-order accuracy in time and fourth-order accuracy in space and unconditionally stable ADI methods for their solution are discussed. Numerical experiments indicate that the methods retain their accuracy even close to the polar singularity.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35K15
Mathematics Subject Classification ID: 35Q30
zbMATH DE Number: 1180782
zbMATH Keywords: stability
zbMATH Keywords: numerical examples
zbMATH Keywords: finite difference schemes
zbMATH Keywords: heat conduction equation
zbMATH Keywords: Navier-Stokes equations
zbMATH Keywords: ADI methods
author: R. K. Mohanty
reviewed by: Thomas Sonar
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1180782