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Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay

Published online by Cambridge University Press:  03 June 2015

Hongliang Liu  and
Aiguo Xiao
Hongliang Liu*
Affiliation:
School of Mathematics and Computational Science, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, P. R. China
Aiguo Xiao*
Affiliation:
School of Mathematics and Computational Science, Key Laboratory of Intelligent Computing and Information Processing of Ministry of Education, Xiangtan University, Xiangtan, Hunan 411105, P. R. China
*
Email: [email protected]
Corresponding author. Email: [email protected]
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Abstract

Linear multistep methods and one-leg methods are applied to a class of index-2 nonlinear differential-algebraic equations with a variable delay. The corresponding convergence results are obtained and successfully confirmed by some numerical examples. The results obtained in this work extend the corresponding ones in literature.

Keywords

65L8065L20index-2 differential-algebraic equationsvariable delaylinear mutistep methodsone-leg methodsconvergence
Type
Research Article
Information
Advances in Applied Mathematics and Mechanics , Volume 4 , Issue 5 , October 2012 , pp. 636 - 646
Copyright
Copyright © Global-Science Press 2012

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