The Fourier Spectral Method For The Sivashinsky Equation.

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.

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    Abstract

    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.

    Item Type: Conference or Workshop Item (Paper)
    Subjects: Q Science > QA Mathematics > QA1-939 Mathematics
    Divisions: Pusat Pengajian Sains Matematik (School of Mathematical Sciences)
    Depositing User: Mr Erwan Roslan
    Date Deposited: 12 Aug 2009 08:40
    Last Modified: 13 Jul 2013 12:46
    URI: http://eprints.usm.my/id/eprint/11691

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