Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8901880 | Journal of Computational and Applied Mathematics | 2018 | 13 Pages |
Abstract
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.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Yuhao Cong, Yanpei Wang, Guangda Hu,