A robust layer-resolving spline collocation method for a convection-diffusion problem
type: Item
instance of: scholarly article
title: A robust layer-resolving spline collocation method for a convection-diffusion problem
zbMATH Open document ID: 1162.65045
author: Katarina Surla
author: Ljiljana Teofanov
author: Zorica Uzelac
published in: Applied Mathematics and Computation
publication date: 2009-03-02T00:00:00Z
review text: This paper deals with the singularly perturbed convection-diffusion model problem \[ \varepsilon y''+ a(x) y'- b(x) y= f(x),\;x\in (0,1),\;y(0)= \gamma_0,\;y(1)= \gamma_1,\;0<\varepsilon\ll 1. \] Presented numerical method is based on a difference scheme which is obtained by: a) quadratic spline function as an approximation function in the collocation process, b) Layer-adepted Shishkin mesh. The collocation points are moved in order to obtain the validity of the discrete minimum principle which enables application of the barrier function technique. Some convergence results are presented.
reviewed by: Pavol Chocholatý
Mathematics Subject Classification ID: 65L60
zbMATH DE Number: 5522159
zbMATH Keywords: singular perturbation
zbMATH Keywords: convection-diffusion problem
zbMATH Keywords: Shishkin mesh
zbMATH Keywords: spline difference schemes
zbMATH Keywords: uniform convergence
zbMATH Keywords: normalized flux
MaRDI profile type: Publication
full work available at URL: j.amc.2008.11.011
OpenAlex ID: W2052006084
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DOI: 10.1016/J.AMC.2008.11.011
description: scientific article; zbMATH DE number 5522159