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 (Can select more than one option. Press CONTROL button): | Kulliyyah of Engineering Kulliyyah of Engineering > Department of Mechanical Engineering |
| Depositing User: | Prof. Waqar Asrar |
| Date Deposited: | 15 Jul 2011 10:41 |
| Last Modified: | 15 Dec 2020 09:19 |
| URI: | http://irep.iium.edu.my/id/eprint/998 |
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