The application of explicit Nyström methods to singular second order differential equations
type: Item
instance of: scholarly article
title: The application of explicit Nyström methods to singular second order differential equations
zbMATH Open document ID: 0697.65056
DOI: 10.1016/0898-1221(90)90250-N
author: N. E. Zubov
publication date: 1990-01-01T00:00:00Z
review text: The paper is dealt with explicit Nyström methods applied to a class of singular second order initial value problems of the form \(y''+(2/x)y'+f(x,y)=0,\) \(0<x<x_ f\), \(y(0)=a\), \(y'(0)=0\). It is shown that explicit Nyström methods can be used for the integration of this class of singular initial value problems. Moreover, the authors prove that the methods give their proper respective orders of convergence. This fact is also presented numerically by testing these methods on the singular equations of Emden and Liouville.
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 4143367
zbMATH Keywords: Emden's equation
zbMATH Keywords: Liouville's equation
zbMATH Keywords: explicit Nyström methods
zbMATH Keywords: singular second order initial value problems
zbMATH Keywords: orders of convergence
reviewed by: Andrzej Marciniak
MaRDI profile type: Publication
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published in: Computers & Mathematics with Applications
description: scientific article; zbMATH DE number 4143367