eng
International Academy of Ecology and Environmental Sciences
Computational Ecology and Software
2220-721X
2015-06-1
5
2
139
151
3
article
Application of homotopy perturbation method to the Navier-Stokes
equations in cylindrical coordinates
H. A. Wahab
wahabmaths@yahoo.com, wahab@hu.edu.pk
1
Anwar Jamal
1
Saira Bhatti
2
Muhammad Naeem
3
Muhammad Shahzad
1
Sajjad
Hussain
1
Department of Mathematics, Hazara University, Manshera, Pakistan
Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
Department of Information Technology, Hazara University, Manshera, Pakistan
This paper deals with the approximate analytical solution of the Navier-Stokes equations in cylindrical coordinates. The homotopy perturbation method is used to get the analytical approximation. Depending upon different available choices for the linear operator, we also have the advantage to choose different initial approximations to start our analysis. The analysis is done without calculating the Adomian's polynomials.
http://www.iaees.org/publications/journals/ces/articles/2015-5(2)/homotopy-perturbation-method-to-Navier-Stokes-equations.pdf
Navier-Stokes equations
homotopy perturbation method
iterative approximation
infinite series
solution.