应用Haar小波和算子矩阵求定积分的近似值

J4 ›› 2012, Vol. 47 ›› Issue (4): 84-88.

应用Haar小波和算子矩阵求定积分的近似值

耿万海,陈一鸣,刘玉风,汪晓娟

燕山大学理学院, 河北秦皇岛 066004

收稿日期:2011-05-05 出版日期:2012-04-20 发布日期:2012-06-28
作者简介:耿万海(1981- ),男,硕士研究生,研究方向为分数阶微分方程. Email: g831020@126.com
基金资助:
河北省自然科学基金资助项目(E2009000365)

The approximation of definite integration by using Haar wavelet and operator matrix

GENG Wan-hai, CHEN Yi-ming, LIU Yu-feng, WANG Xiao-juan

College of Science, Yanshan University, Qinhuangdao 066004, Heibei, China

Received:2011-05-05 Online:2012-04-20 Published:2012-06-28

摘要/Abstract

摘要：

将Haar小波与算子矩阵有效结合,对被积函数进行恰当的离散,把一些不易求得原函数的定积分问题转化成计算常数矩阵的乘积。由于矩阵的乘积可以直接用MATLB来实现,从而使得计算简便,最后给出数值算例验证了方法的有效性。

关键词: Haar小波;算子矩阵;被积函数;近似值

Abstract:

The corresponding definite integral problem is transformed into calculate product of the constant matrix by combining Haar wavelet with operator matrix and the integrand is discrete felicitously. It is easy to achieve the product of constant matrix with MATLAB. The numerical examples show that the method is effective.

Key words: Haar wavelet; operator matrix; integrand; approximation

耿万海,陈一鸣,刘玉风,汪晓娟. 应用Haar小波和算子矩阵求定积分的近似值[J]. J4, 2012, 47(4): 84-88.

GENG Wan-hai, CHEN Yi-ming, LIU Yu-feng, WANG Xiao-juan. The approximation of definite integration by using Haar wavelet and operator matrix[J]. J4, 2012, 47(4): 84-88.

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