A non-classical sinc-collocation method for the solution of singular boundary value problems arising in physiology

Abstract

In this paper, a non-classical sinc-collocation method is used to find numerical solution of a class of singular second-order boundary value problems arising in physiology. The ability of the sinc approximation to overcome the singularity makes it an efficient method. This method is utilized to reduce the computation of solution of singular boundary value problems to some nonlinear systems of equations. Implementing this method is simple and attractive. Furthermore, convergence of proposed method is discussed by preparing the theorems which show exponential convergence and guarantee the applicability of those. Several examples are solved and numerical results are compared with other existing methods to show the efficiency and applicability of the method.

Keywords:

• Non-classical
• sinc collocation method
• singular boundary value problem
• physiology
• convergence

2020 Mathematics Subject Classifications:

• 41A30
• 65L10
• 65L11
• 65L60

Acknowledgements

The authors would like to thank the editor and the reviewers for their valuable comments and suggestions to improve the results of this paper.

Disclosure statement

No potential conflict of interest was reported by the author(s).