A Weighted Average Difference Scheme with High-Order Accuracy for the RLW Equation
A weighted average difference scheme with high-order accuracy is proposed for the Regular Long Wave(RLW)equation.The scheme is three-level implicit in time,and has second-order accuracy in time and fourth-order accuracy in space.Also,the scheme can accurately simulate the mass conservation and energy conservation of the original problem.The existence,uniqueness,convergence and stability of the proposed scheme are proved by the discrete energy method.The validity of the theoretical analysis is verified by nu-merical experiments.
RLW equationweighted average difference schemeconservationconvergencestability
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