Open AccessHomotopy Transforms Analysis Method for Solving Fractional Navier- Stokes Equations with Applications
Author(s) -
Eman Mohmmed Nemah
Publication year - 2020
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2020.61.8.20
Subject(s) - homotopy analysis method , adomian decomposition method , mathematics , fractional calculus , derivative (finance) , nonlinear system , homotopy , convergent series , decomposition method (queueing theory) , homotopy perturbation method , mathematical analysis , power series , series (stratigraphy) , partial differential equation , pure mathematics , physics , discrete mathematics , paleontology , quantum mechanics , financial economics , economics , biology
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.