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Radial Basis Function-Pseudospectral Method for Solving Non-Linear Whitham-Broer-Kaup Mode |
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PP: 13-18 |
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doi:10.18576/sjm/040103
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Author(s) |
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Rostam K. Saeed,
Mohammed I. Sadeeq,
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Abstract |
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| In this paper, we apply Radial Basis Function-Pseudospectral method for solving nonlinear Whitham-Broer-Kaup (WBK) shallow water model, numerically. We used radial basis functions to approximate the space derivatives in WBK model for obtaining a system of ordinary differential equations that approximate the WBK model, and fourth-order Runge-Kutta method used to solve this system of ordinary differential equations. Also, a comparison has been made between approximate solutions obtained by the proposed method and exact solutions for a different choice of parameters and some radial basis functions. Numerical results shown in tables and figures with the help of MATLAB R2015a.
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