| 两点边值问题三次B样条插值解法 |
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| 引用本文： | 罗煦琼,刘利斌.两点边值问题三次B样条插值解法[J].河南科学,2008,26(4):379-382. |
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| 作者姓名： | 罗煦琼 刘利斌 |
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| 作者单位： | 广西民族大学,数学与计算机科学学院,南宁,530006 |
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| 基金项目： | 广西自然科学基金
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广西民族大学研究生教育创新计划 |
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| 摘 要： | 讨论了Ly(x):=y(″x)-p(x)y(′x)-q(x)y(x)=g(x)的两点边值问题的三次B样条插值解法.证明了该方法具有二阶收敛性和很好的稳定性.数值实验结果表明,该三次B样条方法比文献8]和文献9]的精度更高.
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| 关 键 词： | 两点边值 三次B样条插值 收敛性 稳定性 |
| 文章编号： | 1004-3918(2008)04-0379-06 |
| 修稿时间： | 2007年11月1日 |
Solving Two-Point Boundary Value Problem with the Cubic B-Spline Interpolation Method |
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| Luo Xuqiong,Liu Libin.Solving Two-Point Boundary Value Problem with the Cubic B-Spline Interpolation Method[J].Henan Science,2008,26(4):379-382. |
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| Authors: | Luo Xuqiong Liu Libin |
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| Institution: | Luo Xuqiong,Liu Libin(College of Mathematics , Computer Science,Guangxi University for Nationalities,Nanning 530006,China) |
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| Abstract: | In this paper,we consider two-point boundary value problem Ly(x):= y ″(x)-p(x)y′(x)-q(x)y(x)= g(x) by the cubic B-spline interpolation method.This method is a second order convergent method and the stability is good are proved.At last,the numerical results show that the accuracy of the method is much better than the Ref.. |
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| Keywords: | two-point boundary value cubic B-spline interpolation convergent stability |
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