Journal of Advances in Applied Mathematics

Approximate Solution for the Thin Film Flow Problem of a Third Grade Fluid Using Spline Collocation Method

Download PDF (384.5 KB) PP. 91 - 97 Pub. Date: April 12, 2016

DOI: 10.22606/jaam.2016.12001

Author(s)

Hetal Shah
Research Scholar, Mathematics Department, Veer Narmad South Gujarat University, Surat, India.
Jigisha Pandya^*
Assisant Professor, Department of Mathematics, Sarvajanik College of Engineering & Technology, Surat, India.
Pinky Shah
Research Scholar, Mathematics Department, Veer Narmad South Gujarat University, Surat, India.

Abstract

This paper aims to present the approximate solution for a thin film flow of a third grade fluid down an inclined plane. The variation of the velocity field for different parameters has been analyzed. The spline collocation method is used to obtain the accurate solution. The results are shown in a tabular form as well as in a graphical manner.

Keywords

Spline collocation method, Thin film flow, Third grade fluid, Inclined plane, Nonlinear boundary value problem

References

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