Numerical solutions of the reaction-diffusion equations by exponential integrators

tarafından

Sofyalıoğlu, Melek, author.

Başlık

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Numerical solutions of the reaction-diffusion equations by exponential integrators

Yazar

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Sofyalıoğlu, Melek, author.

Yazar Ek Girişi

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Sofyalıoğlu, Melek, author.

Fiziksel Tanımlama

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ix, 97 leaves:+ 1 computer laser optical disc.

Özet

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This thesis presents the methods for solving stiff differential equations and the convergency analysis of exponential integrators, namely the exponential Euler method, exponential second order method, exponential midpoint method for evolution equation. It is also concentrated on how to combine exponential integrators with the interpolation polynomials to solve the problems which has discrete force. The discrete force is approximated by using the Newton divided difference interpolation polynomials. The new error bounds are derived. The performance of these new combinations are illustrated by applying to some well-known stiff problems. In computational part, themethods are applied to linear ODE systems and parabolic PDEs. Finally, numerical results are obtained by using MATLAB programming language.

Konu Başlığı

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Differential equations -- Numerical solutions

Stiff computation (Differential equations)

Reaction-diffusion equations

Yazar Ek Girişi

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Tanoğlu, Gamze

Tüzel Kişi Ek Girişi

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İzmir Institute of Technology. Mathematics.

Tek Biçim Eser Adı

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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 | T001241 | QA371 .S64 2014 | Tez Koleksiyonu |