对非线性常微分方程的参数估计和局部影响分析  

Parameter Estimation and Local Influence Analysis of Nolinear Ordinary Differential Equations Based on Case-deletion Model

作　　者：李慧慧[1] 岳晓鹏[1] 

机构地区：[1]西安电子科技大学理学院,陕西西安710071

出　　处：《电子科技》2014年第1期4-6,共3页Electronic Science and Technology

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。然后导出基于数据删除模型的广义Cook距离的计算公式,并说明该算法降低了计算量。最终利用FitzHugh-Nagumo方程的模拟实验,检验了该算法的有效性,同时与现有算法进行比较,分析证明了其优越性。This paper presents a technique for estimating parameters of nonlinear ordinary differential equations by using B-spline Basis Functions. Case-deletion model is introduced to give formula of Generalized Cook＇s Distance. This algorithm can reduce computational load and improve the efficiency of computing. Effectiveness of the algorithm is checked by FitzHugh-Nagumo equation, and the superiority of the algorithm is demonstrated by a comparison with the algorithms available.

关 键 词：非线性常微分方程 B样条基函数 数据删除模型 广义COOK距离 

分 类 号：O175.1[理学—数学]