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
复制标题
DOI：
10.4208/aamm.10-m11179
复制
发表时间：
2012-10
影响因子：
1.4
通讯作者：
Hongliang Liu;A. Xiao
中科院分区：
文献类型：
--
作者：
Hongliang Liu;A. Xiao
将线性多步方法和单支方法应用于一类变时滞的二阶非线性微分代数方程。得到了相应的收敛性结果，并通过数值算例得到了验证.所得结果推广了文献中的相应结果。AMS科目分类：65 L 80; 65 L20
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. AMS subject classifications: 65L80; 65L20