The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations

WAN De-cheng; WEI Guo-wei

Volume 21 Issue 10

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(10): 991-1001

WAN De-cheng, WEI Guo-wei. The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations[J]. Applied Mathematics and Mechanics, 2000, 21(10): 991-1001.

Citation:

WAN De-cheng, WEI Guo-wei. The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations[J]. Applied Mathematics and Mechanics, 2000, 21(10): 991-1001.

Citation:

WAN De-cheng, WEI Guo-wei. The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations[J]. Applied Mathematics and Mechanics, 2000, 21(10): 991-1001.

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The Study of Quasi-Wavelets Based Numerical Method Applied to Burgers’ Equations

WAN De-cheng¹,
WEI Guo-wei²

1.
Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
2.
Department of Computational Science, National University of Singapore, Singapore 119260

Received Date: 1999-09-06
Publish Date: 2000-10-15

Abstract

Abstract

A quasi-wavelet based numerical method was introduced for solving the evolution of the solutions of nonlinear partial differential Burgers' equations. The quasi wavelet based numerical method was used to discrete the spatial deriatives, 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.
- quasi-wavelets,
- Runge-Kutta method,
- Burgers’ equations

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References

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