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Wavelet approximate inertial manifold and numerical solution of Burgers' equation

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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.

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Authors and Affiliations

  1. Faculty of Science, Jiangsu University of Science and Technology, 212013, Zhenjiang, P R China

    Tian Li-xin Professor, Doctor & Xu Bo-qiang

  2. Department of Mathematics, Shanghai University, 200018, Shanghai, P R China

    Liu Zeng-rong

Authors
  1. Tian Li-xin Professor, Doctor
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  2. Xu Bo-qiang
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  3. Liu Zeng-rong
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Additional information

Contributed LIU Zeng-rong

Foundation items: the National Natural Science Foundation of China (10071033); the Education Ministry Foundation for Backbone Teachers

Biography: TIAN Li-xin (1963-)

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Li-xin, T., Bo-qiang, X. & Zeng-rong, L. Wavelet approximate inertial manifold and numerical solution of Burgers' equation. Appl Math Mech 23, 1140–1152 (2002). https://doi.org/10.1007/BF02437662

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  • DOI: https://doi.org/10.1007/BF02437662

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