Numerical solution of fractional Dullin–Gottwald–Holm equation for solitary shallow water waves

Abstract

In this paper, a numerical scheme to solve the time-fractional Dullin-Gottwald-Holm equation has been proposed. The proposed scheme is based on approximating the solution using multiquadric radial basis function. The fractional derivatives are described in the Caputo sense. The obtained numerical results are compared with exact solution to confirm the accuracy and effectiveness of the presented scheme.