D. Dutykh, Th. Katsaounis and D. Mitsotakis Finite volume methods for unidirectional dispersive wave models International Journal for Numerical Methods in Fluids 71
We extend the framework of the finite volume method to the KdV-BBM equation for the discretization in space, whereas we make use of explicit and implicit-explicit time stepping methods for the time integration. We study the dynamics of the solitary waves of this model along with the properties of the solution near the small dispersion limit.
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