@Article{JCM-41-4,
author = {Yan, Xiaoqiang and Xu, Qian and Zhang, Hong and Songhe, Song and Xiujun, Cheng},
title = {Solving Nonlinear Delay-Differential-Algebraic Equations with Singular Perturbation via Block Boundary Value Methods},
journal = {Journal of Computational Mathematics},
year = {2023},
volume = {41},
number = {4},
pages = {643--662},
abstract = {<p style="text-align: justify;">Block boundary value methods (BBVMs) are extended in this paper to obtain the numerical solutions of nonlinear delay-differential-algebraic equations with singular perturbation (DDAESP). It is proved that the extended BBVMs in some suitable conditions are globally stable and can obtain a unique exact solution of the DDAESP. Besides, whenever the classic Lipschitz conditions are satisfied, the extended BBVMs are preconsistent and $p$th order consistent. Moreover, through some numerical examples, the correctness of the theoretical results and computational validity of the extended BBVMs is further confirmed.</p>},
issn = {1991-7139},
doi = {https://doi.org/10.4208/jcm.2109-m2021-0020},
url = {https://global-sci.com/article/84137/solving-nonlinear-delay-differential-algebraic-equations-with-singular-perturbation-via-block-boundary-value-methods}
}