arrow
Volume 14, Issue 6
Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

Hongliang Liu, Yameng Zhang, Haodong Li & Shoufu Li

Adv. Appl. Math. Mech., 14 (2022), pp. 1276-1301.

Published online: 2022-08

Export citation
  • Abstract

A novel canonical Euler splitting method is proposed for nonlinear composite stiff functional differential-algebraic equations, the stability and convergence of the method is evidenced, theoretical results are further confirmed by some numerical experiments. Especially, the numerical method and its theories can be applied to special cases, such as delay differential-algebraic equations and integral differential-algebraic equations.

  • AMS Subject Headings

65L03, 65L04, 65L80

  • Copyright

COPYRIGHT: © Global Science Press

  • Email address
  • BibTex
  • RIS
  • TXT
@Article{AAMM-14-1276, author = {Liu , HongliangZhang , YamengLi , Haodong and Li , Shoufu}, title = {Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2022}, volume = {14}, number = {6}, pages = {1276--1301}, abstract = {

A novel canonical Euler splitting method is proposed for nonlinear composite stiff functional differential-algebraic equations, the stability and convergence of the method is evidenced, theoretical results are further confirmed by some numerical experiments. Especially, the numerical method and its theories can be applied to special cases, such as delay differential-algebraic equations and integral differential-algebraic equations.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.OA-2021-0106}, url = {http://global-sci.org/intro/article_detail/aamm/20848.html} }
TY - JOUR T1 - Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations AU - Liu , Hongliang AU - Zhang , Yameng AU - Li , Haodong AU - Li , Shoufu JO - Advances in Applied Mathematics and Mechanics VL - 6 SP - 1276 EP - 1301 PY - 2022 DA - 2022/08 SN - 14 DO - http://doi.org/10.4208/aamm.OA-2021-0106 UR - https://global-sci.org/intro/article_detail/aamm/20848.html KW - Canonical Euler splitting method, nonlinear composite stiff functional differential-algebraic equations, stability, convergence. AB -

A novel canonical Euler splitting method is proposed for nonlinear composite stiff functional differential-algebraic equations, the stability and convergence of the method is evidenced, theoretical results are further confirmed by some numerical experiments. Especially, the numerical method and its theories can be applied to special cases, such as delay differential-algebraic equations and integral differential-algebraic equations.

Hongliang Liu, Yameng Zhang, Haodong Li & Shoufu Li. (2022). Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations. Advances in Applied Mathematics and Mechanics. 14 (6). 1276-1301. doi:10.4208/aamm.OA-2021-0106
Copy to clipboard
The citation has been copied to your clipboard