- Tytuł:
- Solution of fractional heat-like and fractional wave-like equation by using modern strategy
- Autorzy:
-
Mohamed, Zain El Abden
Hamza, Amjad
Elzaki, Tarig
Algolam, Mohamed
Elhussein, Shiraz - Powiązania:
- https://bibliotekanauki.pl/articles/2233715.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Białostocka. Oficyna Wydawnicza Politechniki Białostockiej
- Tematy:
-
fractional-order wave-like equation
fractional-order heat-like equation
initial-boundary value problem
Adomian decomposition method - Opis:
- This paper introduces a novel form of the Adomian decomposition (ADM) method for solving fractional-order heat-like and wave-like equations with starting and boundary value problems. The derivations are provided in the sense of Caputo. In order to help understanding, the generalised formulation of the current approach is provided. Several numerical examples of fractional-order diffusion-wave equations (FDWEs) are solved using the suggested method in this context. In addition to examining the applicability of the suggested method to the solving of fractional-order heat-like and wave-like equations, a graphical depiction of the solutions to three instructive cases was constructed. Solution graphs were arrived at for integer and fractional-order problems. The derived and exact solutions to integer-order problems were found to be in excellent agreement. The subject of the present research endeavour is the convergence of fractional-order solutions. This strategy is considered to be the most successful way of addressing fractional-order initial-boundary value issues in science and engineering. This strategy is presented here.
- Źródło:
-
Acta Mechanica et Automatica; 2023, 17, 3; 372--380
1898-4088
2300-5319 - Pojawia się w:
- Acta Mechanica et Automatica
- Dostawca treści:
- Biblioteka Nauki
Artykuł