积分型延迟微分方程隐式欧拉方法的稳定性分析  

Stability Analysis for Integral DDEs of Implicitt Euler Methods

作　　者：湛华平[1] 陈宝凤[1] 王宜静[1] 

机构地区：[1]安阳工学院,河南安阳455000

出　　处：《廊坊师范学院学报（自然科学版）》2013年第5期20-23,共4页Journal of Langfang Normal University(Natural Science Edition)

摘　　要：讨论了隐式欧拉方法应用于一类积分型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,获得了数值稳定区域包含解析稳定区域的必要条件,由此得到隐式欧拉方法的相容性结果,最后给出了数值例子。This paper is concerned with the delay-dependent stability of distributed DDEs with real coefficients. First- ly, by citing the work from the literature , we plot the analytical region in the parameter plane. And then, by using boundary locus method, we obtain a necessary condition which guarantees that the analytical region is a sub set of numeri- cal stability region. Therefore, the results of r（0）-compatibility of implitcit Euler methods are obtained. Finally, we give some numerical examples to confirm the results in our paper.

关 键 词：积分型延迟微分方程 延迟依赖稳定性 隐式欧拉方法 

分 类 号：O211.63[理学—概率论与数理统计]