Applied Mathematics and Mechanics

, Volume 21, Issue 10, pp 1099–1110 | Cite as

The study of quasi wavelets based numerical method applied to Burgers' equations

  • Wan De-cheng
  • Wei Guo-wei
Article

Abstract

A quasi-wavelet based numerical method was introduced for solving the evolution of the solutions of nonlinear paritial differential Burgers' equations. The quasi wavelet based numerical method was used to discrete the spatial derivatives, while the fourth-order Runge-Kutta method was adopted to deal with the temporal discretization. The calculations were conducted at a variety of Reynolds numbers ranging from 10 to unlimited large. The comparisons of present results with analytical solutions show that the quasi wavelet based numerical method has distinctive local property, and is efficient and robust for numerically solving Burgers' equations.

Key words

quasi-wavelets Runge-Kutta method Burgers' equations 

CLC number

O351.2 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2000

Authors and Affiliations

  • Wan De-cheng
    • 1
  • Wei Guo-wei
    • 2
  1. 1.Shanghai Institute of Applied Mathematics and MechanicsShanghai UniversityShanghaiP R China
  2. 2.Department of Computational ScienceNational University of SingaporeSingapore

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