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常微分方程组初值问题的几何化解法
On the Solution of the Initial Value of Ordinary Differential Equations by Geometrical Method
【摘要】 本文从几何观点出发,采用n+1维空间中的Frenet标架为工具,得到了一阶常微分方程组的初值问题的一种几何化数值解法。应用此法解方程组,它能根据曲率大小,自动选择步长,得到较好的结果。
【Abstract】 In this paper, from geometrical points of view, a numerical solution to the initial value of ordinary differential equations is established by applying Frenet coordinate system in n+ 1 dimensional space. This solution will be able to get better results if it is applied with some numerical solutions of ordinary differential equations.
- 【文献出处】 浙江大学学报(自然科学版) ,Journal of Zhejiang University(Natural Science) , 编辑部邮箱 ,1987年04期
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