Homotopy Transforms Analysis Method for Solving Fractional Navier- Stokes Equations with Applications

Eman Mohmmed  Nemah

doi:10.24996/ijs.2020.61.8.20

Authors

Eman Mohmmed Nemah Department of Mathematical, College of Education for Pure Science/ Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.61.8.20

Keywords:

Caputo's Derivative, Homotopy Analysis Method, Laplace Transform Method, Navier- Stokes equations of fractional order derivative, Numerical Solution

Abstract

The presented work includes the Homotopy Transforms of Analysis Method (HTAM). By this method, the approximate solution of nonlinear Navier- Stokes equations of fractional order derivative was obtained. The Caputo's derivative was used in the proposed method. The desired solution was calculated by using the convergent power series to the components. The obtained results are demonstrated by comparison with the results of Adomain decomposition method, Homotopy Analysis method and exact solution, as explained in examples (4.1) and (4.2). The comparison shows that the used method is powerful and efficient.