Non-uniform quasi-interpolation for solving Hammerstein integral equations

ABSTRACT

In this paper, we use the Nyström method based on a quadrature formula associated with non-uniform quasi-interpolation for solving Hammerstein integral equations. This method results in a system of nonlinear equations for determining approximate values of the exact solution of the integral equation. Numerical examples are given for illustrating the performance of the method.

KEYWORDS:

• Spline quasi-interpolation
• Hammerstein integral equations
• Nyström method
• quadrature formula

2010 MSC SUBJECT CLASSIFICATION:

• 47H30
• 45A15
• 65D07
• 65D32
• 41A55

Acknowledgments

We wish to express our great gratitude to the referees for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.