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 - <p style="text-align: justify;">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.</p>