Operator Splitting of the KdV-Burgers Type Equation with Fast and Slow Dynamics
Date
2015-09-17
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Abstract
The Korteweg de Vries-Burgers (KdV-Burgers) type equation arising from the discretiza tion 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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mathematics