A meshless method by using radial basis function for numerical solutions of wave shoaling equation

In this present study, a numerical method is proposed for solving the wave shoaling differential equations with turbulent and laminar boundary layers by using the meshless method based on the radial basis function. The numerical solutions are compared with those of the finite difference method to see the accuracy, the validity and the applicability of the methodology developed in this paper. The meshless method by using the radial basis function can effectively improve the computational efficiency. The findings in this paper provide a significant support for the study of wave shoaling problems.