| 一类常微分方程组初值问题的B-样条方法 |
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| 引用本文： | 肖强. 一类常微分方程组初值问题的B-样条方法[J]. 河西学院学报, 2005, 21(5): 8-11 |
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| 作者姓名： | 肖强 |
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| 作者单位： | 西北师范大学数学与信息科学学院,甘肃,兰州,730070 |
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| 摘 要： | 引用三次B-样条插值函数推导了一类一阶常微分方程组初值问题的数值解,给出了一个近似求解公式,并且得到了此公式的局部截断误差为O(h5).在此基础上又给出了一个校正显式求解公式,其截断误差至少是O(h4).
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| 关 键 词： | B-样条插值函数 局部截断误差 数值解 |
| 文章编号： | 1672-0520（2005）05-0008-04 |
| 收稿时间： | 2004-11-25 |
B-spline Method of Initial Value Problem of a Kind of ODE Set |
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| XIAO Qiang. B-spline Method of Initial Value Problem of a Kind of ODE Set[J]. Journal of Hexi University, 2005, 21(5): 8-11 |
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| Authors: | XIAO Qiang |
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| Abstract: | By using of interpolating B-spline function,the numerical solution of initial value problem of a kind of an ordinary differential equition set is discussed.An inexplicit approximate solving formula has been given,which local truncation error is O(h5).On this bases,an explicit revise solving formula for the problem is obtained,and its local truncation error is less than O(h4). |
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| Keywords: | interpolating B-spline function local truncation error numerical solution |
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