Numerical study of non-singular variable-order time fractional coupled Burgers’ equations by using the Hahn polynomials

In this study, an efficient numerical approach is formulated for solving a category of non-singular variable-order time fractional coupled Burgers’ equations with the aid of the Hahn polynomials. The fractional differential operators are considered in the Atangana–Baleanu–Caputo concept. The designed method converts the original system into an algebraic system which can be simply handled. In order to verify that the demonstrated algorithm is reliable and accurate, some numerical experiments have been processed. The obtained solutions manifest the effectiveness and accuracy of the presented method for solving this class of equations.