分段连续型微分方程θ-方法的散逸性  

Dissipativity ofθ-methods for differential equation with piecewise constant arguments

作　　者：王琦[1] 

机构地区：[1]广东工业大学应用数学学院,广东广州510006

出　　处：《湖北大学学报（自然科学版）》2012年第3期335-339,共5页Journal of Hubei University：Natural Science

基　　金：国家自然科学基金(No.11201084;No.51008084);广东省自然科学基金(No.9451009001002753)资助

摘　　要：针对带有一个延迟项的分段连续型微分方程,研究θ-方法的数值散逸性.将两种θ-方法:线性θ-方法和单腿θ-方法应用于试验方程,得到数值解为散逸的充分条件.主要定理显示两种θ-方法具有一致的散逸性结果,且都保持了原方程的散逸性.Numerical dissipativity ofθ-methods were concerned for differential equation with piecewise constant arguments with one delay.Applying twoθ-methods,namely,linearθ-method and one legθ-method to the test equation,the sufficient conditions for the dissipativity of numerical solution were obtained.The main theorems showed that the twoθ-methods owned the consistent results for dissipativity and they preserved the dissipativity of original equation.

关 键 词：延迟微分方程 分段连续 散逸性微分方程 Θ-方法 

分 类 号：O241.81[理学—计算数学]