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

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DOI: 10.4236/ajcm.2011.12010    4,444 Downloads   9,691 Views   Citations


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.

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V. Awati, N. Bujurke and R. Kudenatti, "An Exponential Series Method for the Solution of Free Convection Boundary Layer Flow in a Saturated Porous Medium," American Journal of Computational Mathematics, Vol. 1 No. 2, 2011, pp. 104-110. doi: 10.4236/ajcm.2011.12010.


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