- Tytuł:
- Application of LDG scheme to solve semi-differential equations
- Autorzy:
- Izadi, Mohammad
- Powiązania:
- https://bibliotekanauki.pl/articles/122346.pdf
- Data publikacji:
- 2019
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
Caputo fractional derivative
local discontinuous Galerkin method
semi-differential equations
pochodna ułamkowa Caputo
nieciągła metoda Galerkina
schemat LDG
równania różnicowe - Opis:
- In the current work, we investigate a technique based on discontinuous Galerkin method for the numerical approximation of semi-differential equations with Caputo’s fractional derivative. In this approach, using the natural upwind fluxes enables us to solve the model problem element by element locally in each subintervals and there is no need to solve a full global matrix. Numerical experiments are given to verify the efficiency and accuracy of the proposed method. Numerical solutions are compared with the exact solutions as well as the numerical solutions obtained by other available well-established computational procedures. The results show that the LDG method is more accurate for solving this class of differential equation with relatively low degrees of polynomials and number of elements.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2019, 18, 4; 27-39
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki