B样条在常微分方程组中的应用  

The Application of B-splines in Ordinary Differential Equations

作　　者：殷政伟[1] 王传丽[1] 贾利峰[1] 

机构地区：[1]河南科技大学理学院,河南洛阳471003

出　　处：《洛阳理工学院学报（自然科学版）》2009年第1期79-82,共4页Journal of Luoyang Institute of Science and Technology：Natural Science Edition

摘　　要：B样条函数在数值逼近中有很广泛的应用。本文主要利用三次B样条插值给出了一阶常微分方程组的数值解,给出一个具体的数值例子,通过例子进一步验证了该方法具有较高的精度。B-spline is widely used in numerical approaching, for example B-spline is used as numerical simulation to convection-diffusion equation, in this paper, we obtained the numerical solution of Ordinary Differential Equations by using B-Splines of Degree 3.An example is given out to prove that the method has higher precision at the last of the paper.

关 键 词：B样条 常微分方程组 数值解 

分 类 号：O24[理学—计算数学]