| 线性Legendre多小波求解第一类Volterra积分方程数值解 |
| |
| 引用本文： | 韩惠丽. 线性Legendre多小波求解第一类Volterra积分方程数值解[J]. 科学技术与工程, 2010, 10(7) |
| |
| 作者姓名： | 韩惠丽 |
| |
| 作者单位： | 宁夏大学数学计算机学院,银川,750021 |
| |
| 基金项目： | 国家自然科学基金(10661009、10962008);;教育部科学技术重点项目(207124)资助 |
| |
| 摘 要： | 利用定义在[0,1]上的Legendre多小波构造插值基求解第一类Volterra积分方程,主要采用配置法将积分方程离散化为线性方程组。最后利用数值算例验证了结果的有效性。
|
| 关 键 词： | 第一类Volterra积分方程 配置理论 小波逼近 多小波 |
| 收稿时间： | 2009-11-24 |
| 修稿时间： | 2009-12-08 |
Numerical Solution of Volterra Integral Equation of the First Kind by Using Linear Legendre Multi-wavelets |
| |
| Han Huili. Numerical Solution of Volterra Integral Equation of the First Kind by Using Linear Legendre Multi-wavelets[J]. Science Technology and Engineering, 2010, 10(7) |
| |
| Authors: | Han Huili |
| |
| Affiliation: | School of Mathematics and Computer Science/a>;Ningxia University/a>;Yinchuan 750021/a>;P.R.China |
| |
| Abstract: | The continuous Legendre multi-wavelets constructed on are utilized as a basis to estimate a solution for Volterra integral equation of the first kind.In this procedure,collocation method is used to convert integral equation to a system of linear equations.Numerical examples are included to demonstrate the efficiency and the application of the technique |
| |
| Keywords: | volterra integral equation of the first kind collocation method wavelet approximation multi-wavelets |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《科学技术与工程》浏览原始摘要信息 |
|
点击此处可从《科学技术与工程》下载全文 |
