On the one-leg methods for solving nonlinear neutral differential equations with variable delay
type: Item
instance of: scholarly article
title: On the one-leg methods for solving nonlinear neutral differential equations with variable delay
zbMATH Open document ID: 1251.65096
DOI: 10.1155/2012/989867
published in: Journal of Applied Mathematics
publication date: 2012-11-15T00:00:00Z
review text: Summary: Based on A-stable one-leg methods and linear interpolations, we introduce four algorithms for solving neutral differential equations with variable delay. A natural question is which algorithm is better. To answer this question, we analyse the error behavior of the four algorithms and obtain their error bounds under a one-sided Lipschitz condition and some classical Lipschitz conditions. After extensively numerically experimenting, we give a positive conclusion.
Mathematics Subject Classification ID: 65L03
Mathematics Subject Classification ID: 34K13
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 65L06
zbMATH DE Number: 6106366
zbMATH Keywords: neutral differential equations
zbMATH Keywords: variable delay
zbMATH Keywords: one-sided Lipschitz condition
Wikidata QID: Q58907060
author: Wansheng Wang
author: Shoufu Li
describes a project that uses: RODAS
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/989867
OpenAlex ID: W2053717881
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DBLP publication ID: journals/jam/WangL12a
description: scientific article; zbMATH DE number 6106366