A weighted group explicit method for the diffusion equation
type: Item
instance of: scholarly article
title: A weighted group explicit method for the diffusion equation
zbMATH Open document ID: 0576.65103
DOI: 10.1016/0045-7825(86)90054-X
author: A. R. Abdullah
author: D. J. Evans
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1986-01-01T00:00:00Z
review text: New explicit methods for the finite difference solution of the diffusion equation are derived. The new methods used stable asymmetric approximations to the partial differential equation which, when coupled in groups of two adjacent points on the grid, result in implicit equations which can be easily converted to explicit form and which offer many advantages. By judicious use of alternating, this strategy on the grid points of the domain results in an algorithm which possesses unconditional stability. The merit of this approach is that it also results in more accurate solutions because of truncation error cancellations. The stability, consistency, convergence, and truncation error of the new method are briefly discussed and the results of numerical experiments presented.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 35K05
zbMATH DE Number: 3921898
zbMATH Keywords: diffusion equation
zbMATH Keywords: unconditional stability
zbMATH Keywords: consistency
zbMATH Keywords: convergence
zbMATH Keywords: truncation error
zbMATH Keywords: numerical experiments
MaRDI profile type: Publication
cites work: Q5335647
cites work: A new explicit method for the diffusion-convection equation
description: scientific article; zbMATH DE number 3921898