Volume 4, Issue 5
Convergence of Linear Multistep Methods and One-Leg Methods for Index-2 Differential-Algebraic Equations with a Variable Delay

Hongliang Liu & Aiguo Xiao

Adv. Appl. Math. Mech., 4 (2012), pp. 636-646.

Published online: 2012-04

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  • 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.

  • Keywords

index-2 differential-algebraic equations variable delay linear mutistep methods one-leg methods convergence

  • AMS Subject Headings

65L80 65L20

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COPYRIGHT: © Global Science Press

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@Article{AAMM-4-636, author = {Hongliang Liu and Aiguo Xiao}, 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 - Hongliang Liu & Aiguo Xiao JO - Advances in Applied Mathematics and Mechanics VL - 5 SP - 636 EP - 646 PY - 2012 DA - 2012/04 SN - 4 DO - http://dor.org/10.4208/aamm.10-m11179 UR - https://global-sci.org/intro/aamm/140.html KW - index-2 differential-algebraic equations KW - variable delay KW - linear mutistep methods KW - one-leg methods KW - 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.

Hongliang Liu & Aiguo Xiao. (1970). 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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