- 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