用带参数的三次样条插值方法解两点边值问题  

Solving Two-point Boundary Value Problem with Parametric Cubic Spline Interpolation Method

作　　者：余爱晖[1] 金怡[1] 

机构地区：[1]杭州师范学院数学系,浙江杭州310036

出　　处：《杭州师范学院学报（自然科学版）》2007年第1期33-36,共4页Journal of Hangzhou Teachers College(Natural Science)

摘　　要：用带参数的三次样条插值方法计算一类两点边值问题的近似解,证明这类方法对于任意的参数τ都是二阶收敛的.最后用数值例子验证这种方法.In this paper, we use parametric cubic spline interpolation method to compute approximations to the solution for a class of two-point boundary value problem. We show that this method is a second order convergent method for arbitrary τ. At last some numerical evidence is also included to demonstrate our method.

关 键 词：带参数的三次样条插值方法 有限差分方法 两点边值问题 收敛阶 

分 类 号：O241.81[理学—计算数学]