- Tytuł:
- Solution of the modified time fractional coupled burgers equations using laplace adomian decompostion method
- Autorzy:
-
Omame, Andrew
Zaman, Fiazud Din - Powiązania:
- https://bibliotekanauki.pl/articles/2204660.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
Burgers equations
fractional derivatives
Laplace Adomian decomposition method
semi-analytic solutions
simulations - Opis:
- In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two different scenarios are examined for each fractional operator: when the initial conditions are u(x,y,0) = sin(xy), v(x,y,0) = sin(xy), and when they are u(x,y,0) = e{−kxy}, v(x,y,0) = e{−kxy}, where k,α are some positive constants. With the aid of computable Adomian polynomials, the solutions are obtained using Laplace Adomian decomposition method (LADM). The method does not need linearization, weak nonlinearity assumptions or perturbation theory. Simulations are also presented to support theoretical results, and the behaviour of the solutions under the three different fractional operators compared.
- Źródło:
-
Acta Mechanica et Automatica; 2023, 17, 1; 124--132
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł