| 利用运算矩阵数值求解常微分方程的改进方法 |
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| 引用本文： | 刘孝锋.利用运算矩阵数值求解常微分方程的改进方法[J].汕头大学学报(自然科学版),2006,21(4):15-19. |
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| 作者姓名： | 刘孝锋 |
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| 作者单位： | 泉州师范学院计算机系,福建,泉州,362000 |
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| 摘 要： | 给出一种基于Haar小波积分运算矩阵求解常微分方程的改进方法,称之为区间分段法.在相同误差条件下,该方法计算速度更快,同时,对于不同的子区间,可根据精度的要求来设定离散点数,增加了应用的灵活性.
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| 关 键 词： | 运算矩阵 常微分方程 区间分段法 Haar小波 |
| 文章编号： | 1001-4217（2006）04-0015-05 |
| 收稿时间： | 2006-03-27 |
| 修稿时间： | 2006年3月27日 |
An Improved Numerical Method for ODE via Operational Matrices |
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| LIU Xiao-feng.An Improved Numerical Method for ODE via Operational Matrices[J].Journal of Shantou University(Natural Science Edition),2006,21(4):15-19. |
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| Authors: | LIU Xiao-feng |
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| Institution: | Department of Computer, Quanzhou Normal Univcrsity, Quanzhon 362000,Fujian, China |
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| Abstract: | Based on ilaar wavelets operational matrix of integration, an improved method is obtained which is called piecewise method for solving ODE. Under the same errors, its speed is faster. At the same time, for the different subintervals, different uolloeate points can be set based on the need of precision, so it can be applied better. |
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| Keywords: | operational matrix ordinary differential equation method of interval pieecwise Haar wavelet |
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