| 基于双正交小波基的热传导方程数值解法 |
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| 引用本文： | 吴勃英 邓中兴. 基于双正交小波基的热传导方程数值解法[J]. 哈尔滨理工大学学报, 1999, 4(5): 7-12 |
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| 作者姓名： | 吴勃英 邓中兴 |
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| 作者单位： | [1]哈尔滨工业大学数学系 [2]哈尔滨理工大学应用科学学院 |
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| 摘 要： | 对给定的热传导方程构造一个双正交小波基，从而用Ｇａｌｅｒｋｉｎ方法给出方程数值近似解的小波表示。由于小波基的双正交性、使得用Ｇａｌｅｒｋｉｎ方法得到的矩阵大大简化，因而得到一个数值求解热传导方程的简单、有效方法。
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| 关 键 词： | 双正交小波基 热传导方程 Galerkin方法 数值解 |
Numerical Solution to a Heat Conduction Equation by Means of a Biorthogonal Wavelet Base |
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| WU Bo-ying, DENG Zhong-xing. Numerical Solution to a Heat Conduction Equation by Means of a Biorthogonal Wavelet Base[J]. Journal of Harbin University of Science and Technology, 1999, 4(5): 7-12 |
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| Authors: | WU Bo-ying DENG Zhong-xing |
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| Abstract: | The biorthogonal wavelet base for the given heat conduction equation is constructed.So that the Galerkin method can be used and to give out a wavelet expression of the solution tothe equation. Because of the biorthogonality, the obtained matrix by Galerkin method is greatlysimplified, and thus a simple and effective method is obtained for the numerical solving of heatconduction equation. |
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| Keywords: | biorthogonal wavelet base heat conduction equation Galerkin method |
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