| 基于扰动模型的非线性ODE局部影响分析 |
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| 引用本文： | 李慧慧,岳晓鹏.基于扰动模型的非线性ODE局部影响分析[J].纺织高校基础科学学报,2014(1):113-115. |
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| 作者姓名： | 李慧慧 岳晓鹏 |
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| 作者单位： | 西安电子科技大学数学与统计学院,陕西西安710071 |
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| 基金项目： | 青年科学基金资助项目（11201360） |
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| 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.
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| 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 |
Local influence analysis of nolinear ordinary differential equations based on perturbation model |
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| LI Hui-hui,YUE Xiao-peng.Local influence analysis of nolinear ordinary differential equations based on perturbation model[J].Basic Sciences Journal of Textile Universities,2014(1):113-115. |
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| Authors: | LI Hui-hui YUE Xiao-peng |
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| Affiliation: | (Department of Applied Mathematics, Xidian Universitiy, Xi＇an 710071,China) |
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| Abstract: | 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 . |
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| Keywords: | nonlinear ordinary differential equations B-spline basis functions generalized influential function perturbation model |
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