| 分数阶微分方程的Haar小波算法研究 |
| |
| 引用本文： | 王苗苗,赵凤群,李娜,刘丽.分数阶微分方程的Haar小波算法研究[J].计算力学学报,2013,30(1):156-160. |
| |
| 作者姓名： | 王苗苗 赵凤群 李娜 刘丽 |
| |
| 作者单位： | 西安理工大学理学院,西安,710054 |
| |
| 基金项目： | 陕西省教育厅基金(11JK0524);陕西省自然科学基金(2011JM1013)资助项目. |
| |
| 摘 要： | 在BPFs的Caputo分数阶微分算子矩阵的基础上,建立了Haar小波的分数阶微分算子矩阵,提出了一种有效的求解分数阶微分方程的Haar小波数值方法,并将该方法应用于线性和非线性分数阶常微分方程求解中.数值算例表明,该算法简单,数值精确度高,是一种高效的数值求解方法.
|
| 关 键 词： | 分数阶微分方程 Haar小波 微分算子矩阵 |
| 收稿时间： | 2011/9/13 0:00:00 |
| 修稿时间： | 4/7/2012 12:00:00 AM |
Study on the Haar wavelet algorithm of fractional differential equations |
| |
| WANG Miao-miao,ZHAO Feng-qun,LI Na and LIU Li.Study on the Haar wavelet algorithm of fractional differential equations[J].Chinese Journal of Computational Mechanics,2013,30(1):156-160. |
| |
| Authors: | WANG Miao-miao ZHAO Feng-qun LI Na and LIU Li |
| |
| Institution: | School of Sciences, Xi'an University of Technology, Xi'an 710054, China;School of Sciences, Xi'an University of Technology, Xi'an 710054, China;School of Sciences, Xi'an University of Technology, Xi'an 710054, China;School of Sciences, Xi'an University of Technology, Xi'an 710054, China |
| |
| Abstract: | In this paper,the Haar wavelet operational matrix of Caputo fractional derivative is established based on the BPF operational matrix,and an efficient Haar wavelet numerical method for solving fractional differential equations is proposed.The method is applied to solve linear and nonlinear fractional ordinary differential equations.And numerical examples results demonstrate that the algorithm is simple,precise and highly efficient. |
| |
| Keywords: | fractional differential equations Haar wavelet operational matrix of derivative |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《计算力学学报》浏览原始摘要信息 |
| 点击此处可从《计算力学学报》下载免费的PDF全文 |
|
