期刊文献+

用小波配点法求解一类偏微分方程 被引量:4

On Wavelet Collocation Method For SoLving a Kind of PDE
在线阅读 下载PDF
导出
摘要 针对一类偏微分方程,提出了一种小波配点法.利用小波配点法对空间域进行离散,建立起对时间的常微分方程组,然后采用Runge-Kutta法对该方程组求解,从而简化了计算.并给出算例,说明算法的有效性. In this paper, to a kind of PDE, the wavelet collocation method was proposed. In this method, the spatial domain was discreted by the wavelet collocation method, And so the system of ordinary differential equation to time was built. Then the Runge-Kutta method was used to solve the system equations. Therefore, the computation is reduced. And, the method was tested by the numerical example.
出处 《哈尔滨理工大学学报》 CAS 2006年第1期33-35,共3页 Journal of Harbin University of Science and Technology
基金 黑龙江省高校骨干教师创新项目(1054G010)
关键词 小波配点法 Runge—Kutta法 热传导方程 wavelet collocation method Runge-Kutta method heat conduct equation
  • 相关文献

参考文献5

  • 1VASILYEV OV,PAOLUCCIS.A Dynamically Daptive Multilevel Wavelet Collocation Method for Solving Partial Differential Equations Finite Domain[J].J Comput Phys,1996,125(2):498-512.
  • 2李荣华.微分方程数值解法[M].北京:高等教育出版社,2002.
  • 3DAHMEN W,PROSSDORF S,SCHNEIDER R.Multiscale Methods for Pseudo Differential Equations[M].Preprint,1993.
  • 4BERTOLUZZA S,NALDI.A G.Wavelet Collocation Method for the Numerical Solution of Partial Differential Equations[M].Applied and Computational Harmonic Analysis,1996.
  • 5杜微微,邓彩霞,赵国良.Shannon小波变换像空间的描述[J].哈尔滨理工大学学报,2003,8(3):127-130. 被引量:2

二级参考文献3

  • 1ARONSZAJ N. Theory of Reproducing Kernels [J]. Trans. Amer. Math. Sot., 1950, 68: 337-404.
  • 2DAUBECHIES I. Ten Lectures on Wavelet [M]. Capital City Press., 1992.
  • 3BRANGES L De. Hilbert Space of Entire Functions [M]. Prentice-Hall, Englewood Cliffs, N. J., 1968.

共引文献1

同被引文献14

  • 1董艳,申亚男.用小波配点法求解热传导方程[J].科技信息,2007(5):145-146. 被引量:1
  • 2Wei G W. Quasi wavdets and quasi interpolating wavdets [J]. Chem Phys Lett, 1998,296(6) :215 - 222.
  • 3Malla S. A theory for multiresolution signal decomposition: The wavelet representation[J]. IEEE Trans. Pattern Anal. Mach. Intel, 1989,11 (7) : 674 - 693.
  • 4Haar A. Zur theorie der ortho normal function-system[J].Mathematische Annalen,1910.331-337.
  • 5Gabor. Theory of communications[J].Inst Elec Eng,1946.429-457.
  • 6Meyer Y. Pseudo differential operatiors[J].Prsc Symp Pure Math,1985.215-235.
  • 7Daubechies. The wavelet transform time-frequency localization and signalAnalysis[J].IEEE Transactions on Information theory,1990,(05):961-1005.
  • 8Mallat S. Multi frequency channel decompositions of images and wavelet models[J].IEEE Transactions on Acoustics,Speech and Signal Processing,1989,(12):2091-2110.
  • 9Wei G W. Quasi wavelets and quasi interpolating wavelets[J].Chemical Physics Letters,1998.215-222.
  • 10李荣华;冯果忱.微分方程数值解法[M]北京:高等教育出版社,2002.

引证文献4

二级引证文献4

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部