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