Autor: Koç, Dilara Altan - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: A new numerical scheme for solving the two dimensional fractional diffusion equation
Autorzy:: Dilara, Altan Koç
Mustafa, Gülsu
Powiązania:: https://bibliotekanauki.pl/articles/1839848.pdf
Data publikacji:: 2021
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: finite difference method
fractional calculus
numerical methods
metoda różnic skończonych
rachunek ułamkowy
metody numeryczne
Opis:: In this study, the locally one dimensional (LOD) method is used to solve the two dimensional time fractional diffusion equation. The fractional derivative is the Caputo fractional derivative of order α. The rate of convergence of the finite difference method is presented. It is seen that this method is in agreement with the obtained numerical solutions with acceptable central processing unit time (CPU time). Error estimates, numerical and exact results are tabulated. The graphics of errors are given.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2021, 20, 1; 5-16
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: A numerical scheme for time-fractional fourth-order reaction-diffusion model
Autorzy:: Koç, Dilara Altan
Powiązania:: https://bibliotekanauki.pl/articles/24201500.pdf
Data publikacji:: 2023
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: implicit finite difference method
fractional calculus
diffusion equation
niejawna metoda różnic skończonych
rachunek ułamkowy
równanie dyfuzji
Opis:: In fractional calculus, the fractional differential equation is physically and theoretically important. In this article an efficient numerical process has been developed. Numerical solutions of the time fractional fourth order reaction diffusion equation in the sense of Caputo derivative is obtained by using the implicit method, which is a finite difference method and is developed by increasing the number of iterations. The advantage of the implicit difference scheme is unconditionally stable. The stability analysis and convergency have been proven. A numerical example has been presented, and the validity of the method is supported by tables and graphics.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 2; 15--25
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

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