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

• Autorzy: Yan J. L. , Zheng L. H.

Identyfikatory

DOI

10.1515/amcs-2017-0036

• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

mass; energy; momentum; finite volume method; Korteweg–de Vries equation

PL

pęd; metoda objętości skończonych; równanie Kortewega-de Vries

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2017
• Tom: Vol. 27, no. 3
• Strony: 515--525
• Opis fizyczny: Bibliogr. 26 poz., tab., wykr.

Twórcy

autor

Yan J. L.

• Department of Mathematics and Computing, Wuyi University, Fujian, 354300, China

autor

Zheng L. H.

• Department of Information and Technology, Nanping No. 1 Middle School, Fujian, 353000, China

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).