Numerical solutions of the reaction-diffusion equations by exponential integrators
Sofyalıoğlu, Melek, author.

Numerical solutions of the reaction-diffusion equations by exponential integrators

Sofyalıoğlu, Melek, author.

Yazar Ek Girişi
Sofyalıoğlu, Melek, author.

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

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
Differential equations -- Numerical solutions
Stiff computation (Differential equations)
Reaction-diffusion equations

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
Access to Electronic Versiyon.

LibraryMateryal TürüDemirbaş NumarasıYer NumarasıDurumu/İade Tarihi
IYTE LibraryTezT001241QA371 .S64 2014Tez Koleksiyonu