- Tytuł:
- The Cauchy problem for the time-fractional advection diffusion equation in a layer
- Autorzy:
-
Povstenko, Y.
Klekot, J. - Powiązania:
- https://bibliotekanauki.pl/articles/298257.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Warmińsko-Mazurski w Olsztynie
- Tematy:
-
porous medium
non-Fickian diffusion
fractional calculus
Mittag-Leffler function - Opis:
- The time-fractional advection-diffusion equation with the Caputo time derivative is studied in a layer. The fundamental solution to the Cauchy problem is obtained using the integral transform technique. The logarithmicsingularity term is separated from the solution. Expressions amenable for numerical treatment are obtained. The numerical results are illustrated graphically.
- Źródło:
-
Technical Sciences / University of Warmia and Mazury in Olsztyn; 2016, 19(3); 231-244
1505-4675
2083-4527 - Pojawia się w:
- Technical Sciences / University of Warmia and Mazury in Olsztyn
- Dostawca treści:
- Biblioteka Nauki
Artykuł