| Riccati方程初值问题的Haar小波数值解法 |
| |
| 引用本文： | 王旭东,丁宣浩,李郴良.Riccati方程初值问题的Haar小波数值解法[J].桂林电子工业学院学报,2006,26(2):120-123. |
| |
| 作者姓名： | 王旭东 丁宣浩 李郴良 |
| |
| 作者单位： | 桂林电子科技大学计算科学与数学系,广西桂林541004 |
| |
| 摘 要： | 求解微分方程初值问题是小波分析在数学上的一个重要应用。在已有的利用Haar小波求解微分方程方法的基础上，对求解Riccati方程初值问题的离散化过程进行了改进，减小了运算量。数值实验表明，该方法在数值上精度略好于文献中利用Haar小波求解微分方程的方法。
|
| 关 键 词： | Riccati方程 Haar小波 积分算子矩阵 |
| 文章编号： | 1001-7437（2006）02-0120-04 |
| 收稿时间： | 2005-12-28 |
Haar wavelet solution to initial value of Riccati equation numerical value |
| |
| WANG Xu-dong, DING Xuan-hao, LI Chen-liang.Haar wavelet solution to initial value of Riccati equation numerical value[J].Journal of Guilin Institute of Electronic Technology,2006,26(2):120-123. |
| |
| Authors: | WANG Xu-dong DING Xuan-hao LI Chen-liang |
| |
| Affiliation: | Dept. Of Computing Science and Mathematics, Guilin University of Electronic Technology, Guilin 541004, China |
| |
| Abstract: | One application of wavelets on mathematics is to solve the initial value of differential equation. The way to discrete Riccati equation has been modified based on the method to solve the initial value of differential equation using Haar wavelet in discussion. Our method has less operation. The numerical value test shows that our method has advantages in terms of precision over other methods referred to in this paper. |
| |
| Keywords: | Riccati equation Haar wavelet integral operator matrix |
| 本文献已被 维普 等数据库收录！ |
