| 用图灵机计算热传导方程 |
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| 引用本文： | 蒋东海,卢殿臣.用图灵机计算热传导方程[J].云南师范大学学报(自然科学版),2007,27(4):41-43. |
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| 作者姓名： | 蒋东海 卢殿臣 |
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| 作者单位： | 江苏大学理学院,江苏,镇江,212013 |
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| 基金项目： | 国家自然科学基金资助项目（10420130638）. |
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| 摘 要： | 研究了带初值的热传导方程广义解的可计算性。首先，给出TTE的一些基本概念，然后，通过广义函数的理论得出热传导方程的基本解，最后，运用广义函数卷积的可计算性质得到最后证明。
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| 关 键 词： | 图灵机 热传导方程 初值问题 |
| 文章编号： | 1007-9793（2007）04-0041-03 |
| 修稿时间： | 2007-03-21 |
Computing Heat Equation on Turing Machine |
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| JIANG Dong-hai,LU Dian-chen.Computing Heat Equation on Turing Machine[J].Journal of Yunnan Normal University (Natural Sciences Edition),2007,27(4):41-43. |
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| Authors: | JIANG Dong-hai LU Dian-chen |
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| Institution: | Faculty of Science, Jiangsu University, Zhenjiang, jiangsu 212013, China |
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| Abstract: | In this paper we study computability of the generalized solution operations of the initial - value problems for Heat equation. First, we give some basic definitions of TIE. Second, we get the fundamental solution of heat equation from the theory of generalized functions. Finally, we prove the solution operations of Heat equation is Turing- computable by use of computability of convolutions. |
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| Keywords: | Turing machine Heat equation Initial value problem |
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