A reliable algorithm for time-fractional Navier-Stokes equations via Laplace transform

Abstract

In this paper, numerical solution of fractional order Navier-Stokes equations in unsteady viscous fluid flow is found using q-homotopy analysis transform scheme. Fractional derivative is considered in Caputo sense. The proposed technique is a blend of q-homotopy analysis scheme and transform of Laplace. It executes well in efficiency and provides h-curves that show convergence range of series solution.

Keywords

• navier-stokes (n-s) equations
• q-homotopy analysis transform method (q-hatm)
• caputo fractional derivative