| 用加乘混合型分离变量法求解变热物性导热微分方程 |
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| 引用本文： | 朱伟平.用加乘混合型分离变量法求解变热物性导热微分方程[J].沈阳工程学院学报(自然科学版),2005,1(1):32-33. |
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| 作者姓名： | 朱伟平 |
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| 作者单位： | 华北电力大学,能源与动力工程学院,河北,保定,071003 |
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| 摘 要： | 变热物性导热问题常用偏微分方程来描述,在求解其偏微分方程时,常使用的经典分离变量法和加法型分离变量法,常只解出了无穷多个解的一个,两种方法都有其局限性.使用新型的加乘混合分离变量法,可以解决原有方法解决不了的问题.以导热微分方程说明不同解法所得解的形式不同,边界条件不同,物理意义不同.
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| 关 键 词： | 分离变量法 导热微分方程 工程热物理 |
| 文章编号： | 1673-1603(2005)01-0032-02 |
| 收稿时间： | 08 29 2004 12:00AM |
| 修稿时间： | 2004年8月29日 |
Solving thermal conduction differential equation by mixed addition and multiplication variable separation method |
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| ZHU Wei-ping.Solving thermal conduction differential equation by mixed addition and multiplication variable separation method[J].Journal of Shenyang Institute of Engineering:natural Science,2005,1(1):32-33. |
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| Authors: | ZHU Wei-ping |
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| Affiliation: | Department of Power, North China Electric Power University, Baoding 071003, China |
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| Abstract: | When engineering thermophysics sloves partial differential equation,usually uses classical variable separation method and addition variable separation method,this two methods usually can obtain one solution,have localization.Using mixed addition and multiplication variable separation method can solve problems which can't be solved by primary methods.Taking thermal conduction differential equation as example,states the different form,different bourdary condition and different physics meaning of solution obtained by different methods. |
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| Keywords: | variable separation method thermal conduction differential equation engineering thermophysics |
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