Semi Numerical Solution for a Boundary Value Problem

N.P. Pai, N. N. Katagi, Krishna B. Chavaraddi

Department of Mathematics, Manipal Institute of Technology, Manipal University, Manipal, India.
Government First Grade College, Yellapur, India.

DOI: 10.4236/ajcm.2013.31006                

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.

Keywords

Computer Extended Series; Domb-Sykes Plot; Pade’ Approximants; Polynomial Coefficients

Conflicts of Interest

The authors declare no conflicts of interest.

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