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小波分析理论及其在热传导中的应用
引用本文:徐晓昂.小波分析理论及其在热传导中的应用[J].南京工程学院学报(自然科学版),2009,7(1):12-15.
作者姓名:徐晓昂
作者单位:江苏省产品质量监督检验研究院,江苏,南京,210007
摘    要:小波分析在时间和频率上具有局部性.给出了小波分析理论与传统方法结合形成的Wavelet-Galerkin方法的基本原理,探讨了Wavelet-Galerkin方法在解决热传导方程中的应用.结果证明该方法特别适用于解热传导方程.

关 键 词:小波分析  Wavelet-Galerkin方法  热传导方程

Wavelet Analysis Theory and Its Application to Heat-conduction
XU Xiao-ang.Wavelet Analysis Theory and Its Application to Heat-conduction[J].Journal of Nanjing Institute of Technology :Natural Science Edition,2009,7(1):12-15.
Authors:XU Xiao-ang
Institution:Jiangsu Provincial Supervising & Testing Research Institute for Products Quality;Nanjing 210007;China
Abstract:Wavelet analysis is characterized as temporal and frequency locality.This paper presents the principles of Wavelet-Galerkin method which combines wavelet analysis and traditional methods.Furthermore,the application of Wavelet-Galerkin method to heat conduction equation was discussed.The results show that this method is particularly applicable to solving heat conduction equations.
Keywords:wavelet analysis  Wavelet-Galerkin method  heat conduction equation  
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