Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function
type: Item
instance of: scholarly article
title: Difference scheme for an initial-boundary value problem for linear coefficient-varied parabolic differential equation with a nonsmooth boundary layer function
zbMATH Open document ID: 0761.65071
DOI: 10.1007/BF02451415
author: Yucheng Su
author: Youyu Zhang
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1993-01-17T00:00:00Z
review text: The authors introduce an exponentially fitted method on a nonuniform mesh. The method is shown to be uniformly convergent with respect to the small parameter. One numerical example is given.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K15
zbMATH DE Number: 98082
zbMATH Keywords: nonsmooth boundary layer function
zbMATH Keywords: uniform convergence
zbMATH Keywords: singular perturbation
zbMATH Keywords: initial-boundary value problem
zbMATH Keywords: difference scheme
zbMATH Keywords: exponentially fitted method
zbMATH Keywords: nonuniform mesh
zbMATH Keywords: small parameter
zbMATH Keywords: numerical example
Wikidata QID: Q115392162
reviewed by: Aurél Galántai
MaRDI profile type: Publication
cites work: Q3658420
cites work: Solution of a boundary value problem for an elliptic equation with a small parameter for the leading derivatives
cites work: Q3909948
cites work: Q5520962
full work available at URL: https://doi.org/10.1007/bf02451415
OpenAlex ID: W2013284548
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description: scientific article; zbMATH DE number 98082