| 一维热传导方程的基本解 |
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| 引用本文： | 曹钢 王桂珍 任晓荣. 一维热传导方程的基本解[J]. 山东轻工业学院学报, 2005, 19(4): 77-80 |
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| 作者姓名： | 曹钢 王桂珍 任晓荣 |
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| 作者单位： | 山东轻工业学院,数理科学系,山东,济南,250100;山东轻工业学院,数理科学系,山东,济南,250100;山东轻工业学院,数理科学系,山东,济南,250100 |
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| 摘 要： | 本文介绍了用积分变换法来求解．维热传导柯西问题的基本解，并对其物理意义进行了讨论，用积分变换法可以将偏微分方程化为常微分方程，使方程易于解出，从基本解可以看出，在温度平衡过程中，杆上各点均受初始状态的影响，而且基本解满足归一化条件表示在热平衡过程中杆的总热量保持不变。
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| 关 键 词： | 热传导 基本解 积分变换 |
| 文章编号： | 1004-4280（2005）04-0077-04 |
| 收稿时间： | 2005-03-08 |
| 修稿时间： | 2005-03-08 |
Fundamental Solution to one-dimensional heat corduction equation |
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| CAO Gang,WANG Gui- zheng,REN Xiao- tong. Fundamental Solution to one-dimensional heat corduction equation[J]. Journal of Shandong Institute of Light Industry(Natural Science Edition), 2005, 19(4): 77-80 |
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| Authors: | CAO Gang WANG Gui- zheng REN Xiao- tong |
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| Affiliation: | School of Mathematical and physical Sciences, Shandong Institute of Light Industry,Jinan 250100,China |
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| Abstract: | Integral transformcotion method is used to solve the one- dimensional heat conduction cheay problem, and the physical meaning is discusseel partial differential equation can be changed into constant differential equation by using integrad transformation method. The equation can be solved easily. From the basic solution it can be seen that every point in the lever is inflnenced by the starting condition. That the basic solution satisfied the condition showed that the total heat amount can be kept unchangeably. |
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| Keywords: | heart conduction fundamental solution integrate - transform |
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