M. Elfaghi, Abdulhafid and Asrar, Waqar and A. Omar, Ashraf (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 h ig h e r order schemes has been performed in terms of numerical accuracy. Four finite difference schemes, the e xp lic it fourth-order compact Pade scheme, the implicit fourth-order Pade scheme, flowfield dependent variation (FDV) meth o d a n d h igh order compact flowfie ld dependent variation (HOC-FDV) scheme are tested. The FDV scheme is used for time disc retization and the fourth-order compact Pade scheme is used for spatial derivatives. The solution procedures c o n sist of a number of tri-diagonal matrix operations and produce an efficient solver. The comparisons are performed u sin g one dimensional nonlinear viscous Burgers equation to demonstrate the accuracy and the convergence characteristics o f the high-resolution schemes. The numerical results show that HOC-FDV is highly accurate in co mparison with analytical and with other higher order schemes.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Flowfield-dependent v a riation (FDV); Higher-order compact (HOC); Burgers’ equation; finite difference method; pade scheme |
| Subjects: | T Technology > T Technology (General) |
| Depositing User: | Mr. Abdul Rahim Mat Radzuan |
| Date Deposited: | 08 Jun 2022 02:11 |
| Last Modified: | 08 Jun 2022 02:11 |
| URI: | http://eprints.uthm.edu.my/id/eprint/7128 |
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