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Operator Splitting of the KdV-Burgers Type Equation with Fast and Slow Dynamics

BROWSE_DETAIL_CREATION_DATE: 17-09-2015

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BROWSE_DETAIL_TYPE: Article

BROWSE_DETAIL_PUBLISH_STATE: Published

BROWSE_DETAIL_FORMAT: PDF Document

BROWSE_DETAIL_LANG: English

BROWSE_DETAIL_SUBJECTS: SCIENCE, Mathematics,

BROWSE_DETAIL_CREATORS: Aydin , Ayhan (Author), Karasözen, Bülent (Author),

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fast-slow systems, finite differences, splitting methods


BROWSE_DETAIL_TAB_ABSTRACT

The Korteweg de Vries-Burgers (KdV-Burgers) type equation arising from the discretization of the viscous Burgers equation with fast dispersion and slow diffusion is solved using operator splitting. The dispersive and diffusive parts are discretized in space by second order conservative finite differences. The resulting system of ordinary differential equations are composed using the time reversible Strang splitting. The numerical results reveal that the periodicity of the solutions and the invariants of the KdV-Burgers equation are well preserved.


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