| 应用Haar小波和算子矩阵求定积分的近似值 |
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| 引用本文： | 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]. 山东大学学报(理学版), 2012, 47(4): 84-88 |
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| 作者姓名： | 耿万海 陈一鸣 刘玉风 汪晓娟 |
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| 作者单位： | 燕山大学理学院,河北秦皇岛,066004 |
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| 基金项目： | 河北省自然科学基金资助项目(E2009000365) |
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| 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。
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| 关 键 词： | Haar小波 算子矩阵 被积函数 近似值 |
The approximation of definite integration by using Haar wavelet and operator matrix |
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| 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]. Journal of Shandong University, 2012, 47(4): 84-88 |
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| Authors: | GENG Wan-hai CHEN Yi-ming LIU Yu-feng WANG Xiao-juan |
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| Affiliation: | (College of Science,Yanshan University,Qinhuangdao 066004,Heibei,China) |
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| 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. |
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| Keywords: | Haar wavelet operator matrix integrand approximation |
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