- Tytuł:
- A finite element method for extended KdV equations
- Autorzy:
-
Karczewska, A.
Rozmej, P.
Szczeciński, M.
Boguniewicz, B. - Powiązania:
- https://bibliotekanauki.pl/articles/330630.pdf
- Data publikacji:
- 2016
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
shallow water wave problem
nonlinear equations
second order KdV equations
finite element method
Petrov–Galerkin method - Opis:
- The finite element method (FEM) is applied to obtain numerical solutions to a recently derived nonlinear equation for the shallow water wave problem. A weak formulation and the Petrov–Galerkin method are used. It is shown that the FEM gives a reasonable description of the wave dynamics of soliton waves governed by extended KdV equations. Some new results for several cases of bottom shapes are presented. The numerical scheme presented here is suitable for taking into account stochastic effects, which will be discussed in a subsequent paper.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2016, 26, 3; 555-567
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł