The analytical solution of fractional‐order Whitham–Broer–Kaup equations by an Elzaki decomposition method

Abstract

AbstractIn this article, the Elzaki decomposition method is used to evaluate the solution of fractional‐order Whitham–Broer–Kaup equations. With the help of Elzaki transform coupled with Adomian decomposition method, an iterative procedure is established to investigate approximate solution to the suggested coupled scheme of nonlinear partial fractional differential equations. The solution of some illustrative examples is presented to show the validity of the proposed technique. The results of the proposed technique are shown and analyzed with the help of figures and tables. Also, we compared the results of our proposed technique with the homotopy perturbation method. The present method has less computational costs and a higher rate of convergence. The suggested algorithm is therefore very helpful to solve other fractional‐order systems of partial differential equations.