Approximate Solution of Time- Fractional Hirota-Satsuma Coupled KdV Equations by Hybrid ZZ Transform with Homotopy Perturbation Method

Abstract

The elementary idea in this effort is to spread the ZZ transform method to resolution the nonlinear fractional partial differential equations by joining them with the homotopy perturbation method (HPM). The new procedure was used to solve Hirota-Satsuma coupled KdV equations approximately, the result was accuracy with at smallest iterations. The numerical results and the graphical representations tell that the projected method does very well in terms of competence and ease. Therefore, it can be applied to solve more problems in the field of non-linear fractional differential equations. The fractional derivative is defined in Caputo sense. To display the strength of the projected method, we present a numerical application, calculate two types of errors, and plan figures of the found results. All implications using MAPLE, 2019.