Numerical solution of coupled-BBM systems of Boussinesq type by implicit finite difference method

Abstract EN

In this paper we study a numerical solution of coupled BBM systems of Boussinesq type, which describes approximately the two ways propagation of surface wave in a uniform horizontal channel of length l filled in its undisturbed depth h.

This paper is devoted to drive the matrix algebraic equation for the one-dimensional nonlinear BBM system which is obtaining from using the implicit finite difference method.

The convergence analysis of the solution is proved.

Numerical experiments are presented with a variety of initial conditions describing the generation and evolution of such waves, and their interactions.