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In this paper, we present a simple modified Lax-Friedrich method for the numerical solution of shallow water equations. In the proposed method, we approximate the next-step value by applying the Lax–Friedrichs method at the half grid of space. The method were applied to simulate the wave propagation at a rest pool for non-flat topography. Based on the simulation, the proposed method is more accurate in terms of fulfill the conservation law than the classical Lax-Friedrichs method and it shows good agreement with steady analytical solution.