Study on convergence and error of a numerical method for solving systems of nonlinear Fredholm–Volterra integral equations of Hammerstein type

Abstract

The aim of this paper is to present an efficient analytical and numerical procedure for solving systems of nonlinear Fredholm–Volterra integral equations of the Hammerstein type with the aid of fixed point techniques and the usual Schauder basis in an adequate Banach space.

Keywords:

• System of Fredholm–Volterra integral equations Hammerstein type
• Schauder basis in a Banach space
• fixed point
• numerical methods

AMS Subject Classifications:

• 45L05
• 45G15
• 65R20

Acknowledgements

The authors are very grateful to the anonymous reviewers for their value comments and suggestions which have improved the paper.

Notes

No potential conflict of interest was reported by the authors.

Additional information

Funding

This research was partially supported by Junta de Andalucía Grant FQM359 and the ETSIE of the University of Granada (Spain).