- Tytuł:
- On the semi-analytic technique to deal with nonlinear fractional differential equations
- Autorzy:
-
Khirsariya, Sagar R.
Rao, Snehal B. - Powiązania:
- https://bibliotekanauki.pl/articles/2202059.pdf
- Data publikacji:
- 2023
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
fractional differential equation
logistic equation
Fornberg-Whitham equation
homotopy perturbation method
Sawi transform
ułamkowe równanie różniczkowe
równanie logistyczne
równanie Fornberga-Whithama
metoda perturbacji homotopii - Opis:
- In this article, we present a novel hybrid approach, by combining the Sawi transform with the homotopy perturbation method, to achieve the approximate and analytic solutions of nonlinear fractional differential equations (ODE as well as PDE) using the time-fractional Caputo derivative. The proposed algorithm is faster and simple compared to other iterative methods. The Sawi transform is used along with the homotopy perturbation method to accelerate the convergence of the series solution. The results discussed using calculations, graphs and tables are compatible for comparison with other known methods like the residual power series method and the exact solution which are discussed in the literature.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2023, 22, 1; 17--30
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł