The analytical solution of fractional-order. (English) Zbl 1537.35395
Summary: In 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.
© 2021 Wiley Periodicals LLC.
© 2021 Wiley Periodicals LLC.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A22 | Transform methods (e.g., integral transforms) applied to PDEs |
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