Numerical Analysis of the Time-Fractional Boussinesq Equation in Gradient Unconfined Aquifers with the Mittag-Leffler Derivative

In this study, two numerical methods—the variational iteration transform method (VITM) and the Adomian decomposition (ADM) method—were used to solve second- fourth-order fractional Boussinesq equations. Both methods are helpful in approximating non-linear problems effectively, easily, accurately. The Atangana–Baleanu operator ZZ were utilized derive solutions for equation. Two examples discussed validate solutions. results demonstrate that both VITM ADM effective obtaining accurate reliable time-fractional