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Semi Numerical Solution for a Boundary Value Problem
Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, India
Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, India
Government First Grade College, Yellapur, India
- 1 Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, India
- 2 Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, India
- 3 Government First Grade College, Yellapur, India
American Journal of Computational Mathematics·Volume 03 (2013)·Pages 43–47·Published 26 March 2013·DOI10.4236/ajcm.2013.31006
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Abstract
The flow of viscous incompressible fluid through a tube is considered. The similarity transformation is used to reduce the governing equations into nonlinear ordinary differential equation. The solution procedure includes application of long series analysis with polynomial coefficients. The series representing physical parameters ( ) reveal qualitative features which are comparable to pure numerical results. The analysis enables in extending region of validity. A complete description of the solutions is presented.
KeywordsComputer Extended SeriesDomb-Sykes PlotPade’ ApproximantsPolynomial Coefficients
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