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Computational Ecology and Software, 2015, 5(2): 139-151
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Article

Application of homotopy perturbation method to the Navier-Stokes equations in cylindrical coordinates

H. A. Wahab¹, Anwar Jamal¹, Saira Bhatti², Muhammad Naeem³, Muhammad Shahzad¹, Sajjad Hussain¹
¹Department of Mathematics, Hazara University, Manshera, Pakistan
²Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad, Pakistan
³Department of Information Technology, Hazara University, Manshera, Pakistan

Received 30 September 2014;Accepted 8 February 2015;Published online 1 June 2015
IAEES

Abstract
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.

Keywords Navier-Stokes equations;homotopy perturbation method;iterative approximation;infinite series solution..

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