一类泛函微分方程的数值稳定性和振动性（英文）  

Numerical Stabilityand Oscillation of a kind of Functional Differential Equations

作　　者：王琦[1] 姚洁怡 WANG Qi;YAO Jie-yi(School of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China)

机构地区：[1]广东工业大学应用数学学院

出　　处：《聊城大学学报（自然科学版）》2020年第2期18-27,共10页Journal of Liaocheng University:Natural Science Edition

基　　金：国家自然科学基金项目（11201084）;广东省自然科学基金项目（2017A030313031）资助

摘　　要：考虑一类泛函微分方程数值解的稳定性和振动性.首先,用θ-方法求解方程,获得了数值解稳定和振动的条件.接下来研究了数值方法对上述两种动力学行为的保持性质,得到了解析解的稳定性和振动性被数值方法保持的条件.最后给出一些数值算例.The paper focuses on the stability and oscillation of numerical solutions for a kind of functional differential equations.Firstly,the conditions of numerical stability and oscillation are obtained by using the θ-methods.Secondly,we studied the preservation behavior of numerical methods for the two dynamical properties,namely under which conditions the stability and oscillation of the analytic solution can be inherited by numerical methods.Finally,some numerical examples are given.

关 键 词：泛函微分方程 Θ-方法 数值解 稳定性 振动性 

分 类 号：O241[理学—计算数学]