Pointwise and weighted a priori estimates of the solution and its first derivative for a singularly perturbed convection-diffusion equation
type: Item
instance of: scholarly article
title: Pointwise and weighted a priori estimates of the solution and its first derivative for a singularly perturbed convection-diffusion equation
zbMATH Open document ID: 1036.65063
DOI: 10.1023/A:1021103512850
published in: Differential Equations
publication date: 2003-05-25T00:00:00Z
review text: This paper is an immediate continuation of the author's previous paper [A priori estimates for solutions of monotone three-point singularly perturbed finite-difference schemes, Preprint, Moscow: MAKA Press (2001)]. One of the main goals of the present paper is to obtain pointwise and weighted estimates of solutions of a two-point boundary value problem for a singularly perturbed convection-diffusion equation in divergent or non-divergent form without turning points. The author develops a technique for deriving such a priori estimates, which can be used in grid computations.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L70
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 1916125
zbMATH Keywords: singular perturbation
zbMATH Keywords: error bounds
zbMATH Keywords: finite-difference schemes
zbMATH Keywords: convection-diffusion equation
author: Vladimir B. Andreev
reviewed by: Pavol Chocholatý
MaRDI profile type: Publication
full work available at URL: a:1021103512850
OpenAlex ID: W2914349739
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description: scientific article; zbMATH DE number 1916125