- Tytuł:
- A new modification of the reduced differential transform method for nonlinear fractional partial differential equations
- Autorzy:
-
Khalouta, Ali
Kadem, Abdelouahab - Powiązania:
- https://bibliotekanauki.pl/articles/1839758.pdf
- Data publikacji:
- 2020
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
nonlinear fractional partial differential equations
Caputo fractional derivative
Shehu transform method
reduced differential transform method
approximate analytical solution
nieliniowe równania różniczkowe cząstkowe ułamkowe
pochodna ułamkowa Caputo
metoda transformacji Shehu
metoda transformacji różnicowej - Opis:
- The objective of this study is to present a new modification of the reduced differential transform method (MRDTM) to find an approximate analytical solution of a certain class of nonlinear fractional partial differential equations in particular, nonlinear time-fractional wave-like equations with variable coefficients. This method is a combination of two different methods: the Shehu transform method and the reduced differential transform method. The advantage of the MRDTM is to find the solution without discretization, linearization or restrictive assumptions. Three different examples are presented to demonstrate the applicability and effectiveness of the MRDTM. The numerical results show that the proposed modification is very effective and simple for solving nonlinear fractional partial differential equations.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2020, 19, 3; 45-58
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł