In this paper, we analyze a Crank–Nicolson-type finite difference scheme for the BBM equation. We prove the secondorder convergence in discrete H-norm of the difference approximate solutions. The existence, stability and uniqueness are also discussed in detail. At last a linearized difference scheme is given and its convergence is also proved. 2006 Elsevier… (More)

@article{Achouri2006OnTC,
title={On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation},
author={Talha Achouri and Noomen Khiari and Khaled Omrani},
journal={Applied Mathematics and Computation},
year={2006},
volume={182},
pages={999-1005}
}