Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
type: Item
instance of: scholarly article
title: Parameter uniform numerical method for singularly perturbed turning point problems exhibiting boundary layers.
zbMATH Open document ID: 1033.65061
DOI: 10.1016/S0377-0427(03)00476-X
author: J. Jayakumar
author: Srinivasan Natesan
author: Jesús Vigo-Aguiar
published in: Journal of Computational and Applied Mathematics
publication date: 2003-09-15T00:00:00Z
review text: The aim of this paper is to provide a layer resolving parameter uniform convergent numerical method for the turning point problem. The authors suggest an appropriate piecewise-uniform mesh and apply the classical finite-difference schemes on this mesh. The \(\varepsilon\)-uniform error estimates are derived and some numerical examples are included to support the theoretical estimates.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 65L20
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L70
zbMATH DE Number: 1981526
zbMATH Keywords: turning point problems
zbMATH Keywords: boundary layer
zbMATH Keywords: asymptotic approximation
zbMATH Keywords: finite-difference schemes
zbMATH Keywords: piecewise uniform Shishkin mesh
zbMATH Keywords: singular perturbation
zbMATH Keywords: convergence
zbMATH Keywords: error estimates
zbMATH Keywords: numerical examples
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
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full work available at URL: s0377-0427(03)00476-x
OpenAlex ID: W1986792623
description: scientific article; zbMATH DE number 1981526