- Tytuł:
- Conservative finite volume element schemes for the complex modified Korteweg–de Vries equation
- Autorzy:
-
Yan, J. L.
Zheng, L. H. - Tematy:
-
mass
energy
momentum
finite volume method
Korteweg–de Vries equation
pęd
metoda objętości skończonych
równanie Kortewega-de Vries - Pokaż więcej
- Wydawca:
- Uniwersytet Zielonogórski. Oficyna Wydawnicza
- Powiązania:
- https://bibliotekanauki.pl/articles/330164.pdf  Link otwiera się w nowym oknie
- 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.
- Dostawca treści:
- Biblioteka Nauki
Artykuł