Approximate Analytical Solution of the Time-Fractional Reaction-Diffusion-Convection Equation using Aboodh Transform Iterative Method

Abstract

The main goal of this work is to approximate the solution of the nonlinear time-fractional reaction-diffusion-convection equations in the form of the Mittag–Leffler function by using a new coupling methodology known as the Aboodh transform iterative method. It has been demonstrated that the approximate analytical solution is effective and approaches the precise solution, provided that solutions converge. Three instances are provided to show the applicability and validity of the suggested strategy and to contrast it with the exact solution. The method’s accuracy is illustrated by the numerical and graphical findings displayed in figures and tables.