Numerical investigation of the decay rate of solutions to models for water waves with nonlocal viscosity

Serge Dumont (1) , Jean-Baptiste Duval (1)

1 LAMFA - Laboratoire Amiénois de Mathématique Fondamentale et Appliquée - UMR CNRS 7352

In this article, we investigate the decay rate of the solutions of two water wave models with a nonlocal viscous term written in the KdV form and in the BBM form. In order to realize this numerical study, a numerical scheme based of the G^α-scheme is developed.

Mots clés: waterwaves; long-time asymptotics; fractional derivatives.; viscous asymptotical models

Domaines: Analyse numérique [math.NA]

Serge Dumont, Jean-Baptiste Duval. Numerical investigation of the decay rate of solutions to models for water waves with nonlocal viscosity. International Journal of Numerical Analysis and Modeling, 2012, 10 (2), pp.333-349. ⟨hal-01113716⟩