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Burgers方程的Wavelet-Galerkin方法 被引量:1

The Wavelet-Galerkin method for Burgers equation
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摘要 对一维非线性Burgers方程的混合问题,基于具有紧支撑的Daubechies小波基,给出Wavelet-Galerkin逼近方法.同时给出关联系数的定义以及计算方法.数值实验结果表明Wavelet-Galerkin方法是数值求解Burgers方程的有效算法. The Wavelet -Galerkin method is proposed to solve the mixed problem of one -dimention nonlinear Burgers equations by using the Daubechies' wavelet basis. The definition of connection coefficients is given and an algorithm for computing them was presented. The numerical results were used to validate the proposed Wavelet - Galerkin method as an effective numerical algorithm to solve Burgers equations.
出处 《黑龙江大学自然科学学报》 CAS 北大核心 2007年第4期534-538,542,共6页 Journal of Natural Science of Heilongjiang University
基金 国家自然科学基金资助项目(40276008)
关键词 BURGERS方程 DAUBECHIES小波 Wavelet-Galerkin 关联系数 Burgers equation Daubechies' wavelet Wavelet - Galerkin connection coefficient
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参考文献6

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  • 3龙爱芳.两点边值问题的小波-Galerkin方法研究[J].中南民族大学学报(自然科学版),2003,22(2):94-96. 被引量:2
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二级参考文献6

共引文献322

同被引文献2

  • 1(美)崔锦泰(CharlesK.Chui)著,程正兴.小波分析导论[M]西安交通大学出版社,1995.
  • 2Jin-Chao Xu,Wei-Chang Shann. Galerkin-wavelet methods for two-point boundary value problems[J] 1992,Numerische Mathematik(1):123~144

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