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In this paper, we present a spectral method based on Radial Basis Functions(RBFs) for numerically solving the fully nonlinear 1D Serre Green-Naghdiequations. The approximation uses an RBF discretization in space and finitedifferences in time; the full discretization is obtained by the method of linestechnique. For select test cases (see Bonnenton et al. [2] and Kim [11]) theapproximation achieves spectral (exponential) accuracy. Complete\textsc{matlab} code of the numerical implementation is included in this paper(the logic is easy to follow, and the code is under 100 lines).

A Radial Basis Function (RBF) Method for the Fully Nonlinear 1D Serre Green-Naghdi Equations