摘要
讨论了Ly(x):=y(″x)-p(x)y(′x)-q(x)y(x)=g(x)的两点边值问题的三次B样条插值解法.证明了该方法具有二阶收敛性和很好的稳定性.数值实验结果表明,该三次B样条方法比文献[8]和文献[9]的精度更高.
In this paper, we consider two-point boundary value problem Ly（x）： =y″（x）-p （x）y′（x）-q （x）y（x）=g（x） by the cubic B-spline interpolation method. This method is a second order convergent method and the stability is good are proved. At last, the numerical results show that the accuracy of the method is much better than the Ref. [8-9].
出处
《河南科学》
2008年第4期379-382,共4页
Henan Science
基金
广西自然科学基金(0575029)
广西民族大学研究生教育创新计划资助(gxun-chx0756)
关键词
两点边值
三次B样条插值
收敛性
稳定性
two-point boundary value
cubic B-spline interpolation
convergent
stability
