Journal of Computational and Applied Mathematics2022,Vol.40413.DOI:10.1016/j.cam.2021.113867

Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods

Qian, Xu Zhang, Hong Song, Songhe Yan, Xiaoqiang
Journal of Computational and Applied Mathematics2022,Vol.40413.DOI:10.1016/j.cam.2021.113867

Numerical approximation to nonlinear delay-differential-algebraic equations with proportional delay using block boundary value methods

Qian, Xu 1Zhang, Hong 1Song, Songhe 1Yan, Xiaoqiang1
扫码查看

作者信息

  • 1. Natl Univ Def Technol
  • 折叠

Abstract

This paper focuses on the numerical solutions of nonlinear delay-differential-algebraic equations with proportional delay, which are transformed into nonlinear delaydifferential-algebraic equation with constant delay through exponential transformation. Block boundary value methods are extended to solve this type of equation, and their unique solvability, convergence, and stability are rigorously proved, respectively. The computational effectiveness of the methods and correctness of the theoretical result are illustrated through numerical examples. (C) 2021 Elsevier B.V. All rights reserved.

Key words

Nonlinear delay-differential-algebraic/equations with proportional delay/Block boundary value methods/Unique solvability/Convergence/Stability/RUNGE-KUTTA METHODS/LEG THETA-METHODS/ASYMPTOTIC STABILITY/CONVERGENCE/MULTISTEP

引用本文复制引用

出版年

2022
Journal of Computational and Applied Mathematics

Journal of Computational and Applied Mathematics

EISCI
ISSN:0377-0427
被引量1
参考文献量34
段落导航相关论文