Error estimates for a Galerkin numerical scheme applied to a generalized BBM equation

Abstract

Herein we obtain error estimates for a new Galerkin spectral scheme to approximate the solutions of a dispersive-type equation which is a model to describe the propagation of a wave on the surface of a channel with a flat bottom.

Keywords:

• Galerkin method
• dispersive equation
• water waves

AMS Subject Classifications:

• 35Q35
• 65M70
• 65M15

Notes

1 This work was supported by the Universidad del Valle, A.A. 25360, Cali, Colombia.