Creator:

Yan, Jin-Liang ; Zheng, Liang-Hong

Contributor:

Maksimov, Vyacheslav I. - ed. ; Mordukhovich, Boris - ed.

Title:

Conservative finite volume element schemes for the complex modified Korteweg-de Vries equation

Subtitle:

.

Group publication title:

AMCS, Volume 27 (2017)

Subject and Keywords:

mass ; energy ; momentum ; finite volume element method ; complex modified Korteweg-de Vries equation

Abstract:

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.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Date:

2017

Resource Type:

artykuł

DOI:

10.1515/amcs-2017-0036

Pages:

515-525

Source:

AMCS, volume 27, number 3 (2017) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego