分布式延迟微分方程BDF方法的稳定性分析  

Stability Analysis for Distributed Delay Differential Equation of BDF Methods

作　　者：湛华平[1] 王宜静[1] 

机构地区：[1]安阳工学院数理学院,河南安阳455000

出　　处：《安阳师范学院学报》2013年第5期12-15,共4页Journal of Anyang Normal University

摘　　要：本文讨论了二阶BDF方法应用于一类分布式延迟微分方程的延迟依赖稳定性.首先依据文献资料,在参数平面上画出了解析稳定区域,其次获得了数值稳定区域包含解析稳定区域的必要条件,由此得到BDF方法的相容性结果,最后给出了数值例子.This paper is concerned with the delay - dependent stability of distributed DDEs with real coeffi-cients. According to relative material and documents, firstly, the analytical region in the parameter plane is constructed in order to get a necessary condition which guarantees that the analytical region is a subset of nu-merical stability region. Therefore, the results of τ（O） -compatibility of BDF methods are obtained. Finally, some numerical examples are illustrated to confirm the results that have been achieved in the paper.

关 键 词：分布式延迟微分方程 延迟依赖稳定性 BDF方法 

分 类 号：O241.8[理学—计算数学]