An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium

Vishwanath B Awati, N.M Bujurke, Ramesh B Kudenatti

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DOI: 10.4236/ajcm.2011.12010                

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.

Keywords

Boundary Layer Equations, Stretching Surface, Dirichlet Series, Powell’s Method, Stretching of Variables.

Conflicts of Interest

The authors declare no conflicts of interest.

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