| 用小波配点法求解一类偏微分方程 |
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| 引用本文： | 董晓红,邓彩霞,韩红.用小波配点法求解一类偏微分方程[J].哈尔滨理工大学学报,2006,11(1):33-35. |
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| 作者姓名： | 董晓红 邓彩霞 韩红 |
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| 作者单位： | 哈尔滨理工大学,应用科学学院,黑龙江,哈尔滨,150080 |
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| 基金项目： | 黑龙江省高校骨干教师创新能力资助计划 |
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| 摘 要： | 针对一类偏微分方程,提出了一种小波配点法.利用小波配点法对空间域进行离散,建立起对时间的常微分方程组,然后采用Runge-Kutta法对该方程组求解,从而简化了计算.并给出算例,说明算法的有效性.
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| 关 键 词： | 小波配点法 Runge-Kutta法 热传导方程 |
| 文章编号： | 1007-2683(2006)01-0033-03 |
| 修稿时间： | 2005年6月3日 |
On Wavelet Collocation Method For SoLving a Kind of PDE |
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| DONG Xiao-hong,DENG Cai-xia,HAN Hong.On Wavelet Collocation Method For SoLving a Kind of PDE[J].Journal of Harbin University of Science and Technology,2006,11(1):33-35. |
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| Authors: | DONG Xiao-hong DENG Cai-xia HAN Hong |
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| Abstract: | In this paper,to a kind of PDE,the wavelet collocation method was proposed.In this method,the spatial domain was discreted by the 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.Therefore,the computation is reduced.And,the method was tested by the numerical example. |
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| Keywords: | wavelet collocation method Runge-Kutta method heat conduct equation |
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