Conservative Difference Scheme for Generalized Rosenau-KdV Equation

摘要

A conservative Crank-Nicolson finite difference scheme for the initial-boundaryvalue problem of generalized Rosenau-KdV equation is proposed. The difference schemeshows a discrete analogue of the main conservation law associated to the equation. On the otherhand the scheme is implicit and stable with second order convergence. Numerical experimentsverify the theoretical results.