Article ID Journal Published Year Pages File Type
8901880 Journal of Computational and Applied Mathematics 2018 13 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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