Convergence analysis of operator splitting methods for the burgers-huxley equation
tarafından
Çiçek, Yeşim, author.
Başlık
:
Convergence analysis of operator splitting methods for the burgers-huxley equation
Yazar
:
Çiçek, Yeşim, author.
Yazar Ek Girişi
:
Çiçek, Yeşim, author.
Fiziksel Tanımlama
:
viii, 70 leaves:+ 1 computer laser optical disc.
Özet
:
The purpose of this thesis is to investigate the implementation of the two operator splitting methods; Lie-Trotter splitting and Strang splitting method applied to the Burgers- Huxley equation and prove their convergence rates in Hs(R), for s ≥ 1. The analyses are based on the properties of the Sobolev spaces. The Burgers-Huxley equation is deal with the two parts; linear and non-linear parts. The regularity results are shown by using the same technique in (Holden, Lubich and Risebro, 2013) for both parts. By combining these results with the numerical quadratures and the Peano Kernel theorem error bounds are derived for the first and second order splitting methods. In the computational part, the operator splitting methods are applied to the Burgers-Huxley equation. Finally, the convergence rates for the two splitting methods are checked numerically. These numerical results confirmed the theoretical results.
Konu Başlığı
:
Burgers equation.
Yazar Ek Girişi
:
Tanoğlu, Gamze
Tüzel Kişi Ek Girişi
:
İzmir Institute of Technology. Mathematics.
Tek Biçim Eser Adı
:
Thesis (Doctoral)--İzmir Institute of Technology: Mathematics.
İzmir Institute of Technology: Mathematics--Thesis (Doctoral).
Elektronik Erişim
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T001364 | QA377 .C568 2015 | Tez Koleksiyonu |