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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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本文给出了求解劝边界Boussinesq方程的差分格式,计算了动边界以不同形式运动时所产生的波。数值结果表明了孤立波解的存在。 相似文献
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本文给出了Boussinesq方程的一种差分格式并对其初边值问题进行了数值模拟。数值证明了在一些边界条件下Boussinesq方程孤立波解的存在。 相似文献
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