An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem
type: Item
instance of: scholarly article
title: An almost fourth order uniformly convergent difference scheme for a semilinear singularly perturbed reaction-diffusion problem
zbMATH Open document ID: 0824.65078
author: Guangfu Sun
author: Martin Stynes
published in: Numerische Mathematik
publication date: 1995-11-13T00:00:00Z
review text: The singularly perturbed boundary value problem \(-\varepsilon^ 2 u''(x) + b(x,u) = 0\), \(u(0) = u(1) = 0\) is solved under the validity of the condition \(b_ u (x,u) \geq K > 0\). A finite difference method is used that has almost fourth order of accuracy uniform in \(\varepsilon\).
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 770170
zbMATH Keywords: semilinear
zbMATH Keywords: reaction-diffusion problem
zbMATH Keywords: singular perturbation
zbMATH Keywords: uniform convergence
zbMATH Keywords: finite difference method
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
full work available at URL: s002110050130
OpenAlex ID: W2000778252
DOI: 10.1007/S002110050130
description: scientific article; zbMATH DE number 770170