MODIFICATION OF OPTIMAL HOMOTOPY ASYMPTOTIC METHOD FOR MULTI-DIMENSIONAL TIME-FRACTIONAL MODEL OF NAVIER–STOKES EQUATION

Abstract

In this paper, we introduce a new method to create a series solution to the time-fractional Navier–Stokes equations using a combination of the Laplace transform with the optimal homotopy asymptotic method. Caputo’s derivative was applied in the present technique. Three test problems are carried out to validate and demonstrate the method’s efficacy. The system has been found to be a very reliable, effective and powerful technique for solving the proposed model as well as a variety of engineering and science problems.