Collocation method using quintic B-spline and sinc functions for solving a model of squeezing flow between two infinite plates

Abstract

An axisymmetric viscous flow, generated by two large parallel plates slowly approaching each other is investigated. The steady nonlinear governing equations are converted into a fourth-order nonlinear differential equation using integrability condition. The resulting nonlinear boundary value problem is solved using quintic B-spline collocation and sinc-collocation methods. The approach consists of reducing the problem to a set of algebraic equations. Numerical examples are included to demonstrate the validity and applicability of the techniques and a comparison is made with existing results in the literature.

Keywords:

• quintic B-spline
• sinc-collocation
• squeezing flow
• axisymmetric
• numerical solution

2010 AMS Subject Classifications:

• 65L60
• 41A15
• 41A30
• 34B15

Acknowledgments

The authors are very grateful to both reviewers for carefully reading the paper and for their comments and suggestions which have led to improvement of the paper.

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

The authors are also thankful to the University of Kashan for the financial support of this work.