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Numerical method for a model of scattered waves. (Método numérico para un modelo de ondas dispersivas.) (Spanish) Zbl 1216.76042

Translated from the Spanish: We present a highly accurate numerical scheme to study the solutions of the Benjamin–Bona–Mahony (BBM) equation. This is a dispersion model describing the propagation of a wave with a small amplitude in the water surface of an open channel with constant depth. The BBM equation has solitary wave solutions which we calculate explicitly. In the linear case exact solutions also exist that can be calculated by the Fourier transform. Such solutions are used to verify the accuracy, stability and convergence of the numerical model.

MSC:

76M20 Finite difference methods applied to problems in fluid mechanics
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