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A new conservative difference scheme for the general Rosenau-RLW equation. (English) Zbl 1206.65216
A general Rosenau reduces long wave (RLW) equation with initial and boundary conditions is considered. A nonlinear implicit conservative scheme for this initial boundary value problem is proposed. The convergence and the stability of the scheme are proved. Some numerical experiments show the efficiency of the scheme.

MSC:
65M06 Finite difference methods for initial value and initial-boundary value problems involving PDEs
35L75 Higher-order nonlinear hyperbolic equations
65M12 Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs
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References:
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