A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation
type: Item
instance of: scholarly article
title: A numerical scheme to approximate the solution of a singularly perturbed nonlinear differential equation
zbMATH Open document ID: 0732.65058
DOI: 10.1016/0377-0427(91)90209-3
author: S. González-Pinto
author: Luis Casasús
author: Pablo González-Vera
published in: Journal of Computational and Applied Mathematics
publication date: 1991-01-01T00:00:00Z
review text: For the numerical solution of the scalar differential equation \(\epsilon y'(x)=f(x,y), 0<\epsilon \ll 1,\) a variable step algorithm is suggested whose convergence is uniform in \(\epsilon\).
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 65L12
Mathematics Subject Classification ID: 65L50
Mathematics Subject Classification ID: 34E15
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4211398
zbMATH Keywords: singular perturbation
zbMATH Keywords: adaptive grids
zbMATH Keywords: uniform convergence
zbMATH Keywords: nonuniform mesh
zbMATH Keywords: numerical results
zbMATH Keywords: difference schemes
zbMATH Keywords: variable step algorithm
Wikidata QID: Q115363262
reviewed by: Jesús María Sanz-Serna
MaRDI profile type: Publication
full work available at URL: 0377-0427(91)90209-3
OpenAlex ID: W2056523392
cites work: Numerical integration of a singularly perturbed Cauchy problem for an ordinary differential equation
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cites work: Exponentially fitted one-step methods for the numerical solution of the scalar Riccati equation
cites work: Q3909948
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cites work: Q4774844
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cites work: A uniform scheme for the singularly perturbed Riccati equation
description: scientific article; zbMATH DE number 4211398