Numerical solution of time- and space-fractional coupled Burgers' equations via homotopy algorithm

In this paper, we constitute a homotopy algorithm basically extension of homotopy analysis method with Laplace transform, namely q-homotopy analysis transform method to solve time- and space-fractional coupled Burgers' equations. The suggested technique produces many more opportunities by appropriate selection of auxiliary parameters (h) over bar and n (n >= 1) to solve strongly nonlinear differential equations. The proposed technique provides (h) over bar and n-curves, which describe that the convergence range is not a local point effects and finds elucidated series solution that makes it superior than HAM and other analytical techniques. (C) 2016 Faculty of Engineering, Alexandria University. Production and hosting by Elsevier B.V. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/).