Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
type: Item
instance of: scholarly article
title: Convergence of one-leg methods for nonlinear neutral delay integro-differential equations
zbMATH Open document ID: 1180.65179
published in: Science in China. Series A
publication date: 2009-12-07T00:00:00Z
review text: Some convergence, results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are developed. It is proved that a one-leg method is \(E\)- (or \(EB\))-convergent of order \(p\) for nonlinear NDIDEs if and only if it is \(A\)-stable and consistent of order \(p\) in classical sense for ordinary differential equations, where \(p= 1,2\). A numerical example confirms the theoretical results.
reviewed by: Yves Cherruault
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 5643478
zbMATH Keywords: one-leg methods
zbMATH Keywords: neutral delay equations
zbMATH Keywords: integro-differential equations
zbMATH Keywords: convergence
author: Wansheng Wang
author: Shoufu Li
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: s11425-009-0032-8
OpenAlex ID: W2079654261
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DOI: 10.1007/S11425-009-0032-8
description: scientific article; zbMATH DE number 5643478