On the convergence of difference schemes for the Benjamin-Bona-Mahony (BBM) equation

Abstract

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)
DOI: 10.1016/j.amc.2006.04.069

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Cite this paper

@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} }