Splines difference methods for a singular perturbation problem
type: Item
instance of: scholarly article
title: Splines difference methods for a singular perturbation problem
zbMATH Open document ID: 0859.65080
DOI: 10.1016/0168-9274(96)00011-6
published in: Applied Numerical Mathematics
publication date: 1997-03-25T00:00:00Z
review text: The singularly perturbed nonselfadjoint problem \(\varepsilon u''+pu'=f\), \(u(0)=a_1\), \(u(1)=a_2\), \(p,f\in C^3[0,1]\), \(p\geq\overline p>0\), is solved using difference methods. Three schemes are given which are uniformly convergent \((O(h^2))\), optimally convergent \((O(h\max(h,\varepsilon))\), and \(\varepsilon\)-convergent, respectively.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 34B05
Mathematics Subject Classification ID: 34E15
zbMATH DE Number: 937263
zbMATH Keywords: splines difference methods
zbMATH Keywords: singular perturbation
zbMATH Keywords: optimal convergence
zbMATH Keywords: uniform convergence
author: Mirjana Stojanović
reviewed by: Miroslav Bartušek
MaRDI profile type: Publication
full work available at URL: 0168-9274(96)00011-6
OpenAlex ID: W2080331962
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description: scientific article; zbMATH DE number 937263