@Article{AAMM-4-636,
author = {Liu , Hongliang and Xiao , Aiguo},
title = {Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2012},
volume = {4},
number = {5},
pages = {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.
},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.10-m11179},
url = {http://global-sci.org/intro/article_detail/aamm/140.html}
}
TY - JOUR
T1 - Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay
AU - Liu , Hongliang
AU - Xiao , Aiguo
JO - Advances in Applied Mathematics and Mechanics
VL - 5
SP - 636
EP - 646
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m11179
UR - https://global-sci.org/intro/article_detail/aamm/140.html
KW - index-2 differential-algebraic equations, variable delay, linear multistep methods,
one-leg methods, convergence.
AB -
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.
Liu , Hongliang and Xiao , Aiguo. (2012). Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay.
Advances in Applied Mathematics and Mechanics. 4 (5).
636-646.
doi:10.4208/aamm.10-m11179
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