Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
type: Item
instance of: scholarly article
title: Fitted mesh method for singularly perturbed reaction-convection-diffusion problems with boundary and interior layers
zbMATH Open document ID: 1109.65068
DOI: 10.1007/BF02896460
author: N. E. Zubov
published in: Journal of Applied Mathematics and Computing
publication date: 2006-12-04T00:00:00Z
review text: The authors propose a robust numerical method for a singularly perturbed second-order ordinary differential equation having two parameters with a discontinuous source term. Theoretical bounds are derived for the derivatites of the solution and its smooth and singular components. An appropriate piecewise uniform mesh is constructed, and classical upwind finite difference schemes are used on this mesh to obtain the discrete system of equations. Numerical examples are also provided to illustrate the convergence of the numerical approximations.
reviewed by: Răzvan Răducanu
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 5076934
zbMATH Keywords: singular perturbation
zbMATH Keywords: piecewise uniform meshes
zbMATH Keywords: finite difference methods
zbMATH Keywords: numerical examples
MaRDI profile type: Publication
cites work: Singularly Perturbed Problems Modeling Reaction-convection-diffusion Processes
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cites work: A parameter-uniform Schwarz method for a singularly perturbed reaction-diffusion problem with an interior layer
cites work: Differencing scheme for a differential equation with a small parameter affecting the highest derivative
cites work: Q4504291
cites work: Q3378573
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description: scientific article; zbMATH DE number 5076934