- Tytuł:
- Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation
- Autorzy:
-
Yan, J. L.
Zheng, L. H. - Powiązania:
- https://bibliotekanauki.pl/articles/330164.pdf
- Data publikacji:
- 2017
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Tematy:
-
mass
energy
momentum
finite volume method
Korteweg–de Vries equation
pęd
metoda objętości skończonych
równanie Kortewega-de Vries - Opis:
- The aim of this paper is to build and validate a class of energy-preserving schemes for simulating a complex modified Korteweg–de Vries equation. The method is based on a combination of a discrete variational derivative method in time and finite volume element approximation in space. The resulting scheme is accurate, robust and energy-preserving. In addition, for comparison, we also develop a momentum-preserving finite volume element scheme and an implicit midpoint finite volume element scheme. Finally, a complete numerical study is developed to investigate the accuracy, conservation properties and long time behaviors of the energy-preserving scheme, in comparison with the momentum-preserving scheme and the implicit midpoint scheme, for the complex modified Korteweg–de Vries equation.
- Źródło:
-
International Journal of Applied Mathematics and Computer Science; 2017, 27, 3; 515-525
1641-876X
2083-8492 - Pojawia się w:
- International Journal of Applied Mathematics and Computer Science
- Dostawca treści:
- Biblioteka Nauki
Artykuł