- Tytuł:
- Implicit solution of 1d nonlinear porous medium equation using the four-point Newton- EGMSOR iterative method
- Autorzy:
-
Chew, J. V. L.
Sulaiman, J. - Powiązania:
- https://bibliotekanauki.pl/articles/122819.pdf
- Data publikacji:
- 2016
- Wydawca:
- Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
- Tematy:
-
porous medium equation
finite difference scheme
Newton method
Explicit Group
MSOR
równania różniczkowe cząstkowe
metoda różnic skończonych
metoda Newtona - Opis:
- The numerical method can be a good choice in solving nonlinear partial differential equations (PDEs) due to the difficulty in finding the analytical solution. Porous medium equation (PME) is one of the nonlinear PDEs which exists in many realistic problems. This paper proposes a four-point Newton-EGMSOR (4-Newton-EGMSOR) iterative method in solving 1D nonlinear PMEs. The reliability of the 4-Newton-EGMSOR iterative method in computing approximate solutions for several selected PME problems is shown with comparison to 4-Newton-EGSOR, 4-Newton-EG and Newton-Gauss-Seidel methods. Numerical results showed that the proposed method is superior in terms of the number of iterations and computational time compared to the other three tested iterative methods.
- Źródło:
-
Journal of Applied Mathematics and Computational Mechanics; 2016, 15, 2; 11-21
2299-9965 - Pojawia się w:
- Journal of Applied Mathematics and Computational Mechanics
- Dostawca treści:
- Biblioteka Nauki
Artykuł