| 基于再生核三次样条基底的构造及其应用 |
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| 引用本文： | 赵志红,徐敏强,林迎珍.基于再生核三次样条基底的构造及其应用[J].数学的实践与认识,2017(6):274-278. |
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| 作者姓名： | 赵志红 徐敏强 林迎珍 |
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| 作者单位： | 北京理工大学珠海学院数理与土木工程学院,广东珠海,519088 |
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| 摘 要： | 将三次样条理论与再生核理论相结合,利用再生核函数巧妙地构造了三次样条函数空间的一组基底.基于三次样条插值的高收敛特点,得到了微分方程边值问题近似解的一种新的求解方法.数值算例展现出算法简单、有效.
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| 关 键 词： | 三次样条空间基底 三次样条插值 再生核函数 收敛阶 |
Structure and Application of Cubic Spline Basement Based on Reproducing Kernel |
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| ZHAO Zhi-hong,XU Min-qiang,LIN Ying-zhen.Structure and Application of Cubic Spline Basement Based on Reproducing Kernel[J].Mathematics in Practice and Theory,2017(6):274-278. |
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| Authors: | ZHAO Zhi-hong XU Min-qiang LIN Ying-zhen |
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| Abstract: | In this paper,spline interpolation method is introduced,as an efficient tool to solve boundary value problems of differential equations.Based on reproducing kernel space in the application of differential equation,we obtain a set of basis functions of the spline interpolation space skillfully.The method combines advantages of these two methods and therefore could be used to solve the boundary value problems efficiently.A numerical example is tested to demonstrate the accuracy,efficiency and simplicity of the algorithm. |
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| Keywords: | cubic spline space basement cubic spline interpolation reproducing kernel convergence order |
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