| 小波在微分方程数值解上的应用 |
| |
| 引用本文： | 周涛.小波在微分方程数值解上的应用[J].数学理论与应用,2007,27(1):62-64. |
| |
| 作者姓名： | 周涛 |
| |
| 作者单位： | 中南大学数学与计算科学学院 长沙410083 |
| |
| 摘 要： | 求解微分方程常见的方法包括有限差分、有限元等.近年来,小波理论迅速发展,用小波方法数值解求解微分方程已越来越引起人们的注意.本文引入小波的基本理论,通过将函数及其各阶导数在小波基上的展开,求解微分方程的数值解.
|
| 关 键 词： | 小波变换 多分辨分析 导数算子 小波基 微分方程求解 |
| 文章编号： | 24259707 |
| 修稿时间： | 04 7 2006 12:00AM |
A Numerical Solution of Differential Equation Based on Wavelet |
| |
| Zhou Tao.A Numerical Solution of Differential Equation Based on Wavelet[J].Mathematical Theory and Applications,2007,27(1):62-64. |
| |
| Authors: | Zhou Tao |
| |
| Institution: | College of Math. Sciences and computing Technology,Central South University,g10083 |
| |
| Abstract: | The main methods to get answer differential Equation's numerical value are finite difference and finite intervocalic,this thesis inducts the fundamental of wavelet,function and its derivatiove outspread in wavelet,kthan get the differention equation's numerical value answer. |
| |
| Keywords: | wavelet transorm multi-resolution analysis derivative operator differential equation |
| 本文献已被 CNKI 维普 等数据库收录！ |
