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 - <p style="text-align: justify;">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.</p>