scholarly journals Convergence Analysis of Linear Multistep Methods for a Class of Delay Differential-Algebraic Equations

2018 ◽  
Vol 11 (4) ◽  
pp. 78-93 ◽  
Author(s):  
Vu Hoang Linh ◽  
◽  
Nguyen Duy Truong ◽  
M.V. Bulatov ◽  
◽  
...  
Keyword(s):  
Convergence Analysis ◽  
Multistep Methods ◽  
Differential Algebraic Equations ◽  
Linear Multistep Methods ◽  
Algebraic Equations ◽  
Delay Differential

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

2012 ◽  
Vol 4 (5) ◽  
pp. 636-646 ◽  
Author(s):  
Hongliang Liu ◽  
Aiguo Xiao
Keyword(s):  
Multistep Methods ◽  
Differential Algebraic Equations ◽  
Linear Multistep Methods ◽  
Variable Delay ◽  
Algebraic Equations ◽  
Numerical Examples ◽  
Convergence Results ◽  
Index 2

AbstractLinear 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.

Sign in / Sign up

Export Citation Format

Share Document