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

Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay
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Year:    2012

Author:    Hongliang Liu, Aiguo Xiao

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 5 : pp. 636–646

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.10-m11179

Advances in Applied Mathematics and Mechanics, Vol. 4 (2012), Iss. 5 : pp. 636–646

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    11

Keywords:    index-2 differential-algebraic equations variable delay linear multistep methods one-leg methods convergence.

Author Details

Hongliang Liu

Aiguo Xiao

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