The Fourier Spectral Method For The Sivashinsky Equation.
In this paper, a Fourier spectral method for solving the Sivashinsky equation with periodic boundary conditions is developed. We establish semi-discrete and fully discrete schemes of the Fourier spectral method. A fully discrete scheme is constructed in such a way that the linear part is treated imp...
| Main Authors: | , |
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| Format: | Conference or Workshop Item |
| Language: | English |
| Published: |
2008
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| Subjects: | |
| Online Access: | http://eprints.usm.my/11691/ http://eprints.usm.my/11691/1/The_Fourier_Spectral_Method_for_the_Sivashinsky_Equation.pdf |
| _version_ | 1848871308533694464 |
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| author | Abdur Rashid, Abdur Rashid Md. Ismail, Ahmad Izani |
| author_facet | Abdur Rashid, Abdur Rashid Md. Ismail, Ahmad Izani |
| author_sort | Abdur Rashid, Abdur Rashid |
| building | USM Institutional Repository |
| collection | Online Access |
| description | In this paper, a Fourier spectral method for solving the Sivashinsky equation with periodic boundary conditions is developed. We establish semi-discrete and fully discrete schemes of the Fourier spectral method. A fully discrete scheme is constructed in such a way that the linear part is treated implicitly and the nonlinear part explicitly. We use an energy estimation method to obtain error estimates
for the approximate solutions. We also perform some numerical experiments. |
| first_indexed | 2025-11-15T15:38:01Z |
| format | Conference or Workshop Item |
| id | usm-11691 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T15:38:01Z |
| publishDate | 2008 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-116912013-07-13T04:46:11Z http://eprints.usm.my/11691/ The Fourier Spectral Method For The Sivashinsky Equation. Abdur Rashid, Abdur Rashid Md. Ismail, Ahmad Izani QA1-939 Mathematics In this paper, a Fourier spectral method for solving the Sivashinsky equation with periodic boundary conditions is developed. We establish semi-discrete and fully discrete schemes of the Fourier spectral method. A fully discrete scheme is constructed in such a way that the linear part is treated implicitly and the nonlinear part explicitly. We use an energy estimation method to obtain error estimates for the approximate solutions. We also perform some numerical experiments. 2008-12 Conference or Workshop Item PeerReviewed application/pdf en http://eprints.usm.my/11691/1/The_Fourier_Spectral_Method_for_the_Sivashinsky_Equation.pdf Abdur Rashid, Abdur Rashid and Md. Ismail, Ahmad Izani (2008) The Fourier Spectral Method For The Sivashinsky Equation. In: Asian Technology Conference In Mathematics, 15-19 December 2008, Suan Sunandha Rajabhat University. |
| spellingShingle | QA1-939 Mathematics Abdur Rashid, Abdur Rashid Md. Ismail, Ahmad Izani The Fourier Spectral Method For The Sivashinsky Equation. |
| title | The Fourier Spectral Method For The Sivashinsky
Equation.
|
| title_full | The Fourier Spectral Method For The Sivashinsky
Equation.
|
| title_fullStr | The Fourier Spectral Method For The Sivashinsky
Equation.
|
| title_full_unstemmed | The Fourier Spectral Method For The Sivashinsky
Equation.
|
| title_short | The Fourier Spectral Method For The Sivashinsky
Equation.
|
| title_sort | fourier spectral method for the sivashinsky
equation. |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/11691/ http://eprints.usm.my/11691/1/The_Fourier_Spectral_Method_for_the_Sivashinsky_Equation.pdf |