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Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation

Elfaghi, Abdulhafid M. and Asrar, Waqar and Omar, Ashraf Ali (2009) Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation. Australian Journal of Basic and Applied Sciences, 3 (3). pp. 2535-2543. ISSN 1991-8178

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Abstract

In this paper, a comparison between higher order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the explicit fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) method and high order compact flowfie ld dependent variation (HOC-FDV) scheme are tes ted. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures consist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed using one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics of the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in comparison with analytical and with other higher order schemes.

Item Type: Article (Journal)
Additional Information: 4277/998
Uncontrolled Keywords: Flowfield-dependent v a riation (FDV), Higher-order compact (HOC), Burgers ’ equation, Finite Difference Method, Pade scheme.
Subjects: Q Science > QA Mathematics
Kulliyyahs/Centres/Divisions/Institutes: Kulliyyah of Engineering
Kulliyyah of Engineering > Department of Mechanical Engineering
Depositing User: Mrs. Wan Salwati Wan Salleh
Date Deposited: 15 Jul 2011 10:41
Last Modified: 15 Jul 2011 10:42
URI: http://irep.iium.edu.my/id/eprint/998

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