区间上具有微分关系的紧标架小波

摘要

利用尺度函数的细分矩阵,本文给出了一种构造具有微分关系紧标架小波的方法.其中的紧标架小波是Chui意义下的小波.而且以B-样条为基础,作者构造了具体的例子.此结果可应用于某些微分方程的数值解.%By employing the refinable matrix of the scaling function, the method for constructing a pair of tight framelets with differential relations on the interval is given in this paper. In which the tight framelets is defined in the sense of Chui's definition. Moreover, an explicit example is constructed by using B-spline. This result can be applied to solve some differential equations.