Analysis and application of a linearization technique for nonlinear problems
tarafından
İmamoğlu Karabaş, Neslişah, author.
Başlık
:
Analysis and application of a linearization technique for nonlinear problems
Yazar
:
İmamoğlu Karabaş, Neslişah, author.
Yazar Ek Girişi
:
İmamoğlu Karabaş, Neslişah, author.
Fiziksel Tanımlama
:
viii, 80 leaves: charts;+ 1 computer laser optical disc.
Özet
:
The purpose of this thesis is to investigate the implementation of linearization technique combining with the multiquadric radial basis function method to nonlinear problems which appears in engineering and physics. Presented linearization technique is formed by the Frechet derivatives and Newton Raphson method. This technique is applied to Burgers' equation, Coupled Burgers' equation and 2-D cubic nonlinear Schrödinger equation. From the numerical results of the problems, it is believed that this technique can be used to solve other nonlinear and system of nonlinear partial differential equations numerically.
Konu Başlığı
:
Nonlinear theories.
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 | T002257 | QA427 .I319 2020 | Tez Koleksiyonu |