初值问题的紧支撑样条小波方法  

Compactly supported spline wavelet method of initial value problem

作　　者：徐应祥[1] 

机构地区：[1]西北师范大学,数学与信息科学学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2008年第4期15-20,共6页Journal of Northwest Normal University(Natural Science)

摘　　要：应用三次紧支撑样条小波插值函数得到了一个求常微分方程初值问题数值解的隐式公式,并得到其局部截断误差为O(-h5),整体截断误差为O(-h4),同时是稳定的.给出了一个显式校正格式,讨论了其局部截断误差,最后给出了一个数值例子.Using cubic compactly supported spline wavelet interpolation function, the numerical solution of initial value problem of the first order ordinary differential equations is discussed, and an inexplicit approximation solving formula is given, its local truncation error is O（h^5 ）, but the global truncation error is O（h^4） and it is stable. On this bases, an explicit revise formula for the problem is obtained, and thelocal truncation error is discussed. A numerical example is given at last.

关 键 词：局部截断误差 整体截断误差 紧支撑 样条小波 

分 类 号：O241.81[理学—计算数学]