基于扰动模型的非线性ODE局部影响分析  

Local influence analysis of nolinear ordinary differential equations based on perturbation model

作　　者：李慧慧[1] 岳晓鹏[1] 

机构地区：[1]西安电子科技大学数学与统计学院,陕西西安710071

出　　处：《纺织高校基础科学学报》2014年第1期113-115,共3页Basic Sciences Journal of Textile Universities

基　　金：青年科学基金资助项目(11201360)

摘　　要：通过引入B样条基函数,给出非线性常微分方程中未知参数的两步估计法.基于扰动模型以及广义影响函数的概念,进行局部影响分析问题的讨论,给出基于扰动模型的广义Cook距离的计算公式.结果显示该算法可降低计算量,提高计算效率.One technique for estimating parameters of nonlinear ordinary differential equations and detecting the influential observations when the parameters being estimated was presented by introducing B-spline basis func-tions and perturbation model respectively .Generalized influential function is mentioned in the local influential a-nalysis .In the end ,the formula of generalized Cook′s distance is given ,from which we can find that the algo-rithm will reduce computational load and improve the efficiency of computing .

关 键 词：非线性常微分方程 B样条基函数 广义影响函数 扰动模型 

分 类 号：O212.1[理学—概率论与数理统计]