The difference method for the solution of singular perturbation problems for elliptic-parabolic differential equations
type: Item
instance of: scholarly article
title: The difference method for the solution of singular perturbation problems for elliptic-parabolic differential equations
zbMATH Open document ID: 0606.65069
DOI: 10.1007/BF01876743
author: Yucheng Su
author: Chi-kuang Wu
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1980-01-01T00:00:00Z
review text: The difference method for the solution of singular perturbation problems for elliptic equations involving a small parameter \(\epsilon\) in the higher derivatives is discussed. As \(\epsilon =0\) the original equations are degenerated into parabolic equations. The authors construct a special difference scheme by means of boundary layer properties of the solutions of these problems as well as investigate the convergence of this scheme and the asymptotic behaviour of solutions. Finally, a numerical example is given.
Mathematics Subject Classification ID: 65N12
Mathematics Subject Classification ID: 35K65
Mathematics Subject Classification ID: 35B25
zbMATH DE Number: 3980414
zbMATH Keywords: elliptic equations
zbMATH Keywords: small parameter
zbMATH Keywords: parabolic equations
zbMATH Keywords: boundary layer
zbMATH Keywords: convergence
zbMATH Keywords: asymptotic behaviour
zbMATH Keywords: numerical example
MaRDI profile type: Publication
Wikidata QID: Q115393110
cites work: On a Differential Equation of Boundary Layer Type
cites work: On Non‐Linear Ordinary Differential Equations of Boundary Layer Type
cites work: The Numerical Solution of Singular Perturbations of Boundary Value Problems
cites work: Q4127924
cites work: Q3259838
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description: scientific article; zbMATH DE number 3980414