小波算子矩阵法求定积分的近似值  

Wavelet Operational Matrix Method for Solving Approximate Solution of Definite Integral

作　　者：郝玲[1] 牛红玲[1] 成福伟[2] 尹建华[1] 

机构地区：[1]河北民族师范学院数学与计算机系,河北承德067000 [2]河北民族师范学院科研处,河北承德067000

出　　处：《应用数学》2013年第2期389-394,共6页Mathematica Applicata

基　　金：河北省自然科学基金资助项目(A2011205092)

摘　　要：结合Haar小波和算子矩阵的思想,给出一种新的Haar小波积分算子矩阵.利用所得小波积分算子矩阵来求定积分的近似值,将求定积分的问题转化为算子矩阵相乘,从而更容易计算机求解.特别是对于无法求得原函数的定积分,采用本文方法可以有效的求其近似值.最后数值算例验证了方法的可行性和有效性.Another Haar wavelet operational matrix of integration is given by combining the Haar wavelet with the idiea of operational matrix.We can use the obtained wavelet operational matrix of integration to solve the approximate solution of definite integral,translating the problem of solve definite integral into the multiplication of operational matrix and computation becomes convenient by computers.Especially we may effectively obtain the approximate solution of definite integral which can＇t get the primary function.Some examples are included to demonstrate the feasibility and effectiveness of the approach in the end.

关 键 词：HAAR小波 算子矩阵 定积分 近似值 

分 类 号：O175.2[理学—数学]