Mathematical modeling of shoreline evolution becomes a useful
engineering technique for investigating and predicting the evolution of the
plan view of the sandy beach. In this paper two numerical schemes for the
shoreline evolution in the long-term scale are presented, and comparisons to
analytical solution for some cases are presented for a satisfactory level of
suitable numerical scheme. Analytical solutions of shoreline evolution for
simple configuration are presented under idealized wave condition. Based on the
result that backward time centered space scheme more suitable than forward time
centered space scheme to simulate shoreline evolution in the long-term scale.
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