TITLE:
An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium
AUTHORS:
Vishwanath B Awati, N.M Bujurke, Ramesh B Kudenatti
KEYWORDS:
Boundary Layer Equations, Stretching Surface, Dirichlet Series, Powell’s Method, Stretching of Variables.
JOURNAL NAME:
American Journal of Computational Mathematics,
Vol.1 No.2,
July
4,
2011
ABSTRACT: Third order nonlinear ordinary differential equation, subject to appropriate boundary conditions, arising in fluid mechanics is solved exactly using more suggestive schemes- Dirichlet series and method of stretching variables. These methods have advantages over pure numerical methods in obtaining derived quantities accurately for various values of the parameters involved at a stretch and are valid in a much larger domain compared with classical numerical schemes.