| 基于NPS的常微分方程OBVP的研究 |
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| 引用本文： | 陈雪姣,张燕.基于NPS的常微分方程OBVP的研究[J].佳木斯工学院学报,2012(4):614-616. |
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| 作者姓名： | 陈雪姣 张燕 |
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| 作者单位： | 广东商学院华商学院,广东广州511300 |
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| 摘 要： | 根据样条函数中基函数的特殊选取,构造出了一类新的非多项式样条函数,用来求解常微分方程OBVP的边值问题.给出求解的递推公式,并进行了相应的误差分析,结果显示该方法的局部截断误差为O（h6）.
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| 关 键 词： | 非多项式样条函数 三阶常微分方程 数值解法 OBVP |
The Study of Ordinary Differential Equations of OBVP Based on NPS |
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| Authors: | CHEN Xue- Jiao ZHANG Yan |
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| Affiliation: | ( Huashang College, Guangdong University of Business Studies, Guangzhou 511300 , China) |
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| Abstract: | In this paper, the Nonpolynomial splines functions of special select were used to construct a new basic function. And the Nonpolynomial splines functions were used respectively to approach the solutions of the boundary value problem for ordinary differential equations with obstacle boundary value problem. The error a- nalysis of this problem was given. The result showed that its local truncation O（h6） . |
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| Keywords: | nonpolynomial spline function third - order ordinary differential equation numerical solu-tion OBVP |
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