宁夏大学学报(自然科学版)2011,Vol.32Issue(4):314-317,4.
分片泛函多延迟微分方程Runge-Kutta方法的稳定性分析
Stability Analysis of Runge-Kutta Methods for Functional Differential Equations with Piecewise Delays
摘要
Abstract
The numerical stability of the functional differential equations with piecewise delays is studied applying Runge-Kutta method. The necessary and sufficient conditions under which the analytic stability region is contained in the numerical stability region are obtained. Some numerical examples are given to verify the theoretical results.关键词
Runge-Kutta方法/分片延迟/渐近稳定性Key words
Runge-Kutta methods/ piecewise delay/ asymptotical stability分类
数理科学引用本文复制引用
王琦..分片泛函多延迟微分方程Runge-Kutta方法的稳定性分析[J].宁夏大学学报(自然科学版),2011,32(4):314-317,4.基金项目
国家自然科学基金资助项目(51008084) (51008084)
广东省自然科学基金资助项目(9451009001002753) (9451009001002753)