Weak delay-dependent stability of Runge-Kutta methods for differential systems with distributed delays

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:342

Article

Cong, Yuhao^1,2  Wang, Yanpei¹  Hu, Guangda¹ 

[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

[2] Shanghai Customs Coll, Shanghai 201204, Peoples R China

关键词: Differential systems with distributed delays;    Weak delay-dependent stability;    Pouzet-type Runge-Kutta methods;    Argument principle;   

DOI  :  10.1016/j.cam.2018.03.025

来源: Elsevier

【 摘 要 】

This paper discusses the stability of Runge-Kutta methods for differential systems with distributed delays. Weak delay-dependent stability of Pouzet-type Runge-Kutta methods is studied in this paper. It is revealed that under suitable conditions, Runge-Kutta methods preserve weak delay-dependent stability. An algorithm is employed to check weak delay dependent stability of numerical solutions. And the effectiveness of the derived theoretical results is demonstrated with numerical examples. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

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