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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...

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Main Authors: Abdur Rashid, Abdur Rashid, Md. Ismail, Ahmad Izani
Format: Conference or Workshop Item
Language:English
Published: 2008
Subjects:
QA1-939 Mathematics
Online Access:http://eprints.usm.my/11691/1/The_Fourier_Spectral_Method_for_the_Sivashinsky_Equation.pdf
http://eprints.usm.my/11691/
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spelling my.usm.eprints.11691 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.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
language English
topic QA1-939 Mathematics
spellingShingle QA1-939 Mathematics
Abdur Rashid, Abdur Rashid
Md. Ismail, Ahmad Izani
The Fourier Spectral Method For The Sivashinsky Equation.
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.
format Conference or Workshop Item
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
title The Fourier Spectral Method For The Sivashinsky Equation.
title_short 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_sort fourier spectral method for the sivashinsky equation.
publishDate 2008
url http://eprints.usm.my/11691/1/The_Fourier_Spectral_Method_for_the_Sivashinsky_Equation.pdf
http://eprints.usm.my/11691/
_version_ 1643701875016466432
score 13.18916

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