| 第一类Fredholm积分方程的Legendre多小波解法 |
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| 引用本文： | 朱莉,韩惠丽.第一类Fredholm积分方程的Legendre多小波解法[J].重庆工学院学报,2009,23(5):168-171. |
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| 作者姓名： | 朱莉 韩惠丽 |
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| 作者单位： | 宁夏大学数学计算机学院; |
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| 基金项目： | 教育部科学技术研究重点资助项目(批准号207124);;宁夏自然科学基金资助项目(NZ0722);;宁夏高等学校科学研究基金资助项目 |
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| 摘 要： | 利用Legendre多小波的配置方法求解了第一类Fredholm积分方程.采用小波函数作为一组基底,将积分方程转化为一般的代数方程组求解.数值算例表明该算法具有较高的精确度.
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| 关 键 词： | Legendre多小波 第一类Fredholm积分方程 配置方法 |
Solution to Fredholm Integral Equation of the First Kind by Using Legendre Multi-wavelets |
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| ZHU Li,HAN Hui-li.Solution to Fredholm Integral Equation of the First Kind by Using Legendre Multi-wavelets[J].Journal of Chongqing Institute of Technology,2009,23(5):168-171. |
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| Authors: | ZHU Li HAN Hui-li |
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| Affiliation: | School of Mathematics and Computer Science;Ningxia University;Yinchuan750021;China |
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| Abstract: | The Fredholm integral equation of the first kind is solved by using Legendre multi-wavelets.The wavelet functions are utilized as a basis to convert the integral equation into a system of linear equations.Numerical examples show the estimation has a good degree of accuracy. |
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| Keywords: | Legendre multi-wavelets Fredholm integral equation of the first kind collocation method |
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