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Numerical solutions for the general Rosenau-RLW equation are considered andan energy conservative linearized finite difference scheme is proposed. Existence of the solutionsfor the difference scheme has been shown. Stability, convergence, and a priori error estimate of thescheme are proved using energy method. Numerical results demonstrate that the scheme is efficientand reliable

Numerical Simulation for General Rosenau-RLW Equation: An Average Linearized Conservative Scheme