The boundary layer method for the solution of a singular perturbation problem for a parabolic partial differential equation
type: Item
instance of: scholarly article
title: The boundary layer method for the solution of a singular perturbation problem for a parabolic partial differential equation
zbMATH Open document ID: 0634.35007
DOI: 10.1007/BF02014494
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1987-01-01T00:00:00Z
review text: We discuss a singular perturbation problem for a parabolic partial differential equation. As usual, we must reduce the mesh size in the neighbourhood of the boundary layer so that the typical feature of the boundary layer will not be lost. Then we need a very large operational quantity when the mesh sizes are getting too small. We propose a boundary layer scheme, which does not take a very fine mesh size in the neighbourhood of the boundary layer. Numerical examples show that sufficient accuracy can be satisfied with moderate step size.
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 35B30
zbMATH DE Number: 4032180
zbMATH Keywords: mesh size
zbMATH Keywords: boundary layer
author: Chi-kuang Wu
MaRDI profile type: Publication
cites work: Q3854080
cites work: Q3259838
Wikidata QID: Q115393002
description: scientific article; zbMATH DE number 4032180