基于NPS的常微分方程OBVP的研究  

The Study of Ordinary Differential Equations of OBVP Based on NPS

作　　者：陈雪姣[1] 张燕[1] 

机构地区：[1]广东商学院华商学院,广东广州511300

出　　处：《佳木斯大学学报（自然科学版）》2012年第4期614-616,共3页Journal of Jiamusi University：Natural Science Edition

摘　　要：根据样条函数中基函数的特殊选取,构造出了一类新的非多项式样条函数,用来求解常微分方程OBVP的边值问题.给出求解的递推公式,并进行了相应的误差分析,结果显示该方法的局部截断误差为O(h6).In this paper, the Nonpolynomial splines functions of special select were used to construct a new basic function. And the Nonpolynomial splines functions were used respectively to approach the solutions of the boundary value problem for ordinary differential equations with obstacle boundary value problem. The error a- nalysis of this problem was given. The result showed that its local truncation O（h6） .

关 键 词：非多项式样条函数 三阶常微分方程 数值解法 OBVP 

分 类 号：O151.21[理学—数学]