An Exact Solution of Riccati Form of Navier-Stokes Equations with Mathematica

Abstract

There are many obtained solutions for 2D Navier-Stokes equations. This paper discusses an exact analytical solution of Riccati form of Navier-Stokes equations with Mathematica. To our best knowledge, this solution has never been presented elsewhere before, and it is faster compared to solution of Riccati equation using Differential Transform Method (DTM).