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B样条在常微分方程组中的应用
引用本文:殷政伟,王传丽,贾利峰.B样条在常微分方程组中的应用[J].洛阳工业高等专科学校学报,2009,19(1).
作者姓名:殷政伟  王传丽  贾利峰
作者单位:河南科技大学理学院,河南,洛阳,471003
摘    要:骈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.

关 键 词:B样条  常微分方程组  数值解

The Application of B-splines in Ordinary Differential Equations
YIN Zheng-wei,WANG Chuan-li,JIA Li-feng.The Application of B-splines in Ordinary Differential Equations[J].Journal of Luoyang Technology College,2009,19(1).
Authors:YIN Zheng-wei  WANG Chuan-li  JIA Li-feng
Institution:Henan University of Science and Technology Science School;Luoyang 471003;China
Abstract: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.
Keywords:B-Splines  Ordinary Differential Equations  Numerical solution  
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