A Comparative Analysis of Fractional Space-Time Advection-Dispersion Equation via Semi-Analytical Methods

The approximate solutions of the time fractional advection-dispersion equation are presented in this article. nonlocal nature solute movement and nonuniformity fluid flow velocity process lead to formation a heterogeneous system, which can be modeled using equation, generalizes classical replaces derivative with Caputo derivative. Researchers use variety numerical techniques study such models, but nonlocality having order leads high computation complexity complex calculations, so task is find an efficient technique that requires less provides greater accuracy when numerically solving models. A innovative techniques, homotopy perturbation method new iteration method, used connection Elzaki transform solve “fractional equation” solution convergent series form. When transform, fast obtained computation. By some cases time-fractional varied initial conditions help iterative demonstrates usefulness proposed methods.