一类两点边值问题的四次样条解法

Quartic splines solutions for two-point boundary value problems

利用四次样条函数求得一类两点边值问题的数值解。该方法将求解边值问题的数值解最终化为求解三对角线性方程组,计算较为简单。数值算例充分证明该方法比已有方法具有更高的精度。

This paper develops a numerical solution for a class of two-point boundary value problem by using quartic spline function. The solution of the boundary value problem can be gained from the solution of tri-diagonal linear e quations. And this method is easier to calculate. Numerical illustrations show that the method in this paper has a better precision than that of existing ones.