A finite difference method is developed to solve a forced KdV equation representing a surface elevation of fluid flowing on a channel with a small bump at the bottom. We indicate some difficulties in solving the equation since it has a nonlinear and third derivative terms. We present the technique in this paper to solve the equation. As the result, the numerical scheme gives solutions performing nonlinear wave-trains of water surface generated by the forcing term.
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A mathematical model of surface waves in a system of two porous layers
Wiryanto L.. International Journal of Applied Mathematics and Statistics, 17 , 2010.