HODIE finite difference schemes on generalized Shishkin meshes.
type: Item
instance of: scholarly article
title: HODIE finite difference schemes on generalized Shishkin meshes.
zbMATH Open document ID: 1046.65064
DOI: 10.1016/S0377-0427(03)00653-8
published in: Journal of Computational and Applied Mathematics
publication date: 2004-03-15T00:00:00Z
review text: The authors study a class of HODIE finite difference schemes for solving singular perturbation problems for one-dimensional linear diffusion-convection problems. The method uses a nonuniform Shishkin mesh to concentrate points in the boundary layer. They prove uniform convergence with respect to the singular perturbation parameter and give some numerical examples.
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L20
zbMATH DE Number: 2057225
zbMATH Keywords: HODIE finite difference schemes
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: generating function
zbMATH Keywords: uniform
zbMATH Keywords: convergence
zbMATH Keywords: singular perturbation
zbMATH Keywords: linear diffusion-convection problems
zbMATH Keywords: boundary layer
zbMATH Keywords: numerical examples
author: C. Clavero
author: J. L. Gracia
reviewed by: J. D. P. Donnelly
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2057225