Two numerical approaches for solving nonlinear stiff differential equations
tarafından
İmamoğlu, Neslişah, author.
Başlık
:
Two numerical approaches for solving nonlinear stiff differential equations
Yazar
:
İmamoğlu, Neslişah, author.
Yazar Ek Girişi
:
İmamoğlu, Neslişah, author.
Fiziksel Tanımlama
:
ix, 87 leaves:+ 1 computer laser optical disc.
Özet
:
This thesis presents two different numerical methods to solve non-linear stiff differential equations. The first method is exponential integrator, its error bounds are derived for the specific differential equations. Error analysis of exponential integrators is studied based on the Frèchet differentiation and Sobolev space. We obtain the error bounds in Hs(R) norms under the certain assumptions. The second method is a new iterative linearizaton technique. For the second one, we first time applied to general Frèchet derivative as a linearization technique for the numerical solution of nonlinear partial differential equations. In computational part, in order to denote the effectiveness of the new proposed method, we compare our proposed method with the well-known techniques with respect to the errors.
Konu Başlığı
:
Differential 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
:
Library | Materyal Türü | Demirbaş Numarası | Yer Numarası | Durumu/İade Tarihi |
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IYTE Library | Tez | T001309 | QA372 .I31 2014 | Tez Koleksiyonu |