On monotone iterative methods for a nonlinear singularly perturbed reaction--diffusion problem.
type: Item
instance of: scholarly article
title: On monotone iterative methods for a nonlinear singularly perturbed reaction--diffusion problem.
zbMATH Open document ID: 1041.65078
published in: Journal of Computational and Applied Mathematics
publication date: 2004-01-26T00:00:00Z
review text: The author presents a method for computing converging sequences of upper and lower solutions to a nonlinear reaction-diffusion equation on the unit square. Singular perturbation is handled by the use of a Shishkin mesh. A domain decomposition into vertical strips is also given, and the resulting discrete problem is solved by a Schwarz alternating method.
Mathematics Subject Classification ID: 65N06
Mathematics Subject Classification ID: 65N55
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 65H10
Mathematics Subject Classification ID: 65N50
zbMATH DE Number: 2032637
zbMATH Keywords: reaction-diffusion equation
zbMATH Keywords: singular perturbation
zbMATH Keywords: domain decomposition
zbMATH Keywords: monotone iterations
author: Igor Boglaev
reviewed by: Gerald W. Hedstrom
MaRDI profile type: Publication
full work available at URL: j.cam.2003.08.035
OpenAlex ID: W2005585391
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DOI: 10.1016/J.CAM.2003.08.035
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description: scientific article; zbMATH DE number 2032637