Space-Time Chebyshev Pseudospectral Method for Burgers Equation

Jia Chun Liu; Xiao Hui Qian

doi:10.4028/www.scientific.net/AMM.475-476.1075

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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vols. 475-476Space-Time Chebyshev Pseudospectral Method for...

Space-Time Chebyshev Pseudospectral Method for Burgers Equation

Abstract:

In this paper, we present a new method for solving of the one dimensional Burgers equation, that is the space-time Chebyshev pseudospectral method. Firstly, we discretize the Burgers equation in one dimensional space with Chebyshev pseudospectral method. Finally, numerical results obtained by this way are compared with the exact solution to show the efficiency of the method. The numerical results demonstrate high accuracy and stability of this method.

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Periodical:

Applied Mechanics and Materials (Volumes 475-476)

Pages:

1075-1078

DOI:

https://doi.org/10.4028/www.scientific.net/AMM.475-476.1075

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Online since:

December 2013

Authors:

Jia Chun Liu*, Xiao Hui Qian

Keywords:

Burgers Equation, Chebyshev Pseudospectral Method, High Accuracy

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