Conservative Difference Scheme for Generalized Rosenau-KdV Equation

A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable...

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Bibliographic Details
Main Authors: Yan Luo, Youcai Xu, Minfu Feng
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2014/986098
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Summary:A conservative Crank-Nicolson finite difference scheme for the initial-boundary value problem of generalized Rosenau-KdV equation is proposed. The difference scheme shows a discrete analogue of the main conservation law associated to the equation. On the other hand the scheme is implicit and stable with second order convergence. Numerical experiments verify the theoretical results.
ISSN:1687-9120
1687-9139