Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation
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...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English English |
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INSI Publications
2009
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| Online Access: | http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.pdf |
| _version_ | 1848775785070985216 |
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| author | Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali |
| author_facet | Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali |
| author_sort | Elfaghi, Abdulhafid M. |
| building | IIUM Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T14:19:42Z |
| format | Article |
| id | iium-998 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T14:19:42Z |
| publishDate | 2009 |
| publisher | INSI Publications |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-9982020-12-15T01:19:24Z http://irep.iium.edu.my/998/ Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali QA Mathematics 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. INSI Publications 2009-07 Article PeerReviewed application/pdf en http://irep.iium.edu.my/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf application/pdf en http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.pdf 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 http://www.insipub.com/ajbas/2009/2536-2543.pdf |
| spellingShingle | QA Mathematics Elfaghi, Abdulhafid M. Asrar, Waqar Omar, Ashraf Ali Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_full | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_fullStr | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_full_unstemmed | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_short | Comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| title_sort | comparison of high-order accurate schemes for solving the nonlinear viscous burgers equation |
| topic | QA Mathematics |
| url | http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/ http://irep.iium.edu.my/998/1/998_Comparison%20of%20high-order%20accurate%20schemes.pdf http://irep.iium.edu.my/998/2/998_Comparison%20of%20high-order%20accurate%20schemes_SCOPUS.pdf |