Convergence analysis and numerical solutions of the fisher's and benjamin-bono-mahony equations by operator splitting method
tarafından
Zürnacı, Fatma, author.
Başlık
:
Convergence analysis and numerical solutions of the fisher's and benjamin-bono-mahony equations by operator splitting method
Yazar
:
Zürnacı, Fatma, author.
Yazar Ek Girişi
:
Zürnacı, Fatma, author.
Fiziksel Tanımlama
:
ix, 87 leaves:+ 1 computer laser optical disc.
Özet
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This thesis is concerned with the operator splitting method for the Fisher’s and Benjamin-Bono-Mahony type equations. We showthat the correct convergence rates inHs(R) space for Lie- Trotter and Strang splitting method which are obtained for these equations. In the proofs, the new framework originally introduced in (Holden, Lubich, and Risebro, 2013) is used. Numerical quadratures and Peano Kernel theorem, which is followed by the differentiation in Banach space are discussed In addition, we discuss the Sobolev space Hs(R) and give several properties of this space. With the help of these subjects, we derive error bounds for the first and second order splitting methods. Finally, we numerically check the convergence rates for the time step t.
Konu Başlığı
:
Equations -- Numerical solutions
Yazar Ek Girişi
:
Tanoğlu, Gamze
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Master)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Master).
Elektronik Erişim
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Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T001232 | QA218 .Z87 2014 | Tez Koleksiyonu |