Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (10): 1140-1152.

• Articles • Previous Articles     Next Articles

WAVELET APPROXIMATE INERTIAL MANIFOLD AND NUMERICAL SOLUTION OF BURGERS’ EQUATION

TIAN Li-xin1, XU Bo-qiang1, LIU Zeng-rong2   

  1. 1. Faculty of Science, Jiangsu University of Science and Technology, Zhenjiang 212013, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 200018, P. R. China
  • Received:2001-10-09 Revised:2002-03-19 Online:2002-10-18 Published:2002-10-18
  • Supported by:
    the National Natural Science Foundation of China(10071033);the Education Ministry Foundation for Backbone Teachers

Abstract: The existence of approximate inertial manifold using wavelet to Burgers’ equation, and numerical solution under multiresolution analysis with the low modes were studied. It is shown that the Burgers’ equation has a good localization property of the numerical solution distinguishably.

Key words: wavelet, wavelet approximate inertial manifold (WAIM), wavelet Galerkin solution, infinite dimensional dynamic system

2010 MSC Number: 

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