Article ID Journal Published Year Pages File Type
4636160 Applied Mathematics and Computation 2006 7 Pages PDF
Abstract

In this paper, we analyze a Crank–Nicolson-type finite difference scheme for the BBM equation. We prove the second-order convergence in discrete H1-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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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