| 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 |
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| 分数阶微分方程的Haar小波算法研究 |
| Study on the Haar wavelet algorithm of fractional differential equations |
| 投稿时间：2011-09-13 修订日期：2012-04-07 |
| DOI：10.7511/jslx201301026 |
| 中文关键词: 分数阶微分方程 Haar小波 微分算子矩阵 |
| 英文关键词:fractional differential equations Haar wavelet operational matrix of derivative |
| 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. |
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| 中文摘要: |
| 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。 |
| 英文摘要: |
| 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. |
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