Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations
Year: 2022
Author: Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 6 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aamm.OA-2021-0106
Advances in Applied Mathematics and Mechanics, Vol. 14 (2022), Iss. 6 : pp. 1276–1301
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 26
Keywords: Canonical Euler splitting method nonlinear composite stiff functional differential-algebraic equations stability convergence.
Author Details
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Canonical Euler splitting method for parabolic partial functional differential algebraic equations
Liu, Hongliang
You, Yilin
Li, Haodong
Li, Shoufu
Applied Numerical Mathematics, Vol. 190 (2023), Iss. P.65
https://doi.org/10.1016/j.apnum.2023.04.010 [Citations: 0]