Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay
DOI:
https://doi.org/10.4208/aamm.10-m11179Keywords:
index-2 differential-algebraic equations, variable delay, linear multistep methods, one-leg methods, convergence.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.