| 应用插值小波解第二类Fredholm积分方程 |
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| 引用本文： | 叶磊. 应用插值小波解第二类Fredholm积分方程[J]. 枣庄师专学报, 2007, 24(5): 49-52 |
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| 作者姓名： | 叶磊 |
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| 作者单位： | 合肥工业大学理学院 安徽合肥230009 |
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| 摘 要： | 引入了一种解第二类Fredholm积分方程的新的数值算法,该数值方法利用插值小波变换将积分方程转化成线性方程组并求解,经过变换后得到的线性方程组的矩阵是一个稀疏的带状矩阵.数值算例表明,与传统算法比较该方法计算量小,并且具有较高的精度.
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| 关 键 词： | 第二类Fredholm积分方程 插值小波 小波变换 |
| 文章编号： | 1004-7077（2007）05-0049-04 |
| 收稿时间： | 2007-09-07 |
| 修稿时间： | 2007-09-07 |
Solve Fredholm Integral Equation of the Second Kind Using Interpolating Wavelet |
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| YE Lei. Solve Fredholm Integral Equation of the Second Kind Using Interpolating Wavelet[J]. Journal of Zaozhuang Teachers' College, 2007, 24(5): 49-52 |
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| Authors: | YE Lei |
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| Affiliation: | School of Science, Hefei University of Technology, Hefei 23009, China |
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| Abstract: | This paper presents a new method for solving Fredholm integral equation of the second kind.This numerical method converts the integral equation to a system of linear equations by using 1nterpolat-ing wavelet transform,and the matrix we get is a sparse matrix.From the numerical examples we show that the proposed method has high accuracy and is more efficient compared with traditional methods. |
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| Keywords: | Fredholm integral equation of second kind interpolating wavelet wavelet transform |
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