| 热传导方程的基本解与正态分布密度函数 |
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| 引用本文： | 李傅山,孔翠翠.热传导方程的基本解与正态分布密度函数[J].曲阜师范大学学报,2006,32(3):15-18. |
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| 作者姓名： | 李傅山 孔翠翠 |
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| 作者单位： | 曲阜师范大学数学科学学院,山东省曲阜市273165 |
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| 摘 要： | 应用Fourier变换求出热传导方程的基本解，分析了基本解与正态分布密度函数的关系，从而借助密度函数解释热传导方程解的性质．
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| 关 键 词： | Fourier 变换 热传导方程 基本解 正态分布 |
| 文章编号： | 1001-5337（2006）07-0015-04 |
| 收稿时间： | 2005-08-22 |
| 修稿时间： | 2005-08-22 |
Elementary Solution to Heat Equation and Density Function of Normal Distribution |
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| LI Fu-shan,KONG Cui-cui.Elementary Solution to Heat Equation and Density Function of Normal Distribution[J].Journal of Qufu Normal University(Natural Science),2006,32(3):15-18. |
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| Authors: | LI Fu-shan KONG Cui-cui |
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| Institution: | College of Mathematical Sciences, Qufu Normal University, 273165, Qufu, Shandong, PRC |
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| Abstract: | The elementary solution to Cauchy problem of heat equation is given by applying Fourier transformation. The relation of elementary solution and density function of normal distribution is discussed, and the characteristic of solution to Cauchy problem of heat equation is explained by density function. |
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| Keywords: | Fourier transformation heat equation elementary solution normal distribution |
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