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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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American Journal of Computational Mathematics·Volume 01 (2011)·Pages 104–110·Published 30 June 2011·DOI10.4236/ajcm.2011.12010
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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.
KeywordsBoundary Layer EquationsStretching SurfaceDirichlet SeriesPowell’s MethodStretching of Variables.
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