| 热传导方程的区间小波配点法 |
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| 引用本文： | 董艳,申亚男.热传导方程的区间小波配点法[J].石家庄学院学报,2007,9(3):33-37. |
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| 作者姓名： | 董艳 申亚男 |
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| 作者单位： | 北京科技大学,应用科学学院,北京,100083 |
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| 摘 要： | 针对一类线性偏微分方程，采用拟shannon区间小波配点法对空间域进行离散，从而将偏微分方程转化成关于时间的常微分方程组，然后使用四级Runge-Kutta法对该方程组求解．算例数值结果表明，该方法在计算精度上优于将拟shannon小波与Runge—Kutta法结合得到的偏微分方程的数值解法．
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| 关 键 词： | 小波配点法 Runge-Kutta法 区间小波 热传导方程 |
| 文章编号： | 1673-1972（2007）03-0033-05 |
| 收稿时间： | 2006-11-01 |
| 修稿时间： | 2006年11月1日 |
On Interval Wavelet Collocation Method For Partial Differential Equations |
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| DONG Yan,SHEN Ya-nan.On Interval Wavelet Collocation Method For Partial Differential Equations[J].Journal of Shijiazhuang University,2007,9(3):33-37. |
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| Authors: | DONG Yan SHEN Ya-nan |
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| Abstract: | In this paper, according to a kind of PDE, the interval wavelet collocation method was proposed.In this method,the spatial domain was discreted by the quasi-shannon interval wavelet collocation method,and so the system of ordinary differential equation to time was built.Then the Runge-Kutta method was used to solve the system equations.The numerial results show that the computational precision of the method is higher than that of the method constructed by combining the quasi-shannon wavelet and the 4th Runge-Kutta method.Therefore, the method was tested by a numerical example. |
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| Keywords: | wavele collocation method Runge-Kutta method interval wavelet heat conduct equation |
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