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This paper proposed several new types of finite-difference methods for the shallow water equation in absolute coordinate system and put forward an effective two-step predictor-corrector method,a compact and iterative algorithm for five diagonal matrix.Then the iterative method was used for a multi-grid procedure for shallow water equation.At last,an initial-boundary value problem was considered,and the numerical results show that the linear sinusoidal wave would successively evolve into conoidal wave. 相似文献
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