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


KARASÖZEN B. , KARASÖZEN B.

International Conference on Mathematical Sciences, Bolu, Turkey, 23 - 27 November 2010, vol.1309, pp.562-563 identifier

  • Publication Type: Conference Paper / Full Text
  • Volume: 1309
  • City: Bolu
  • Country: Turkey
  • Page Numbers: pp.562-563

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.