Efficient quadrature methods for solving Hammerstein integral equations on the half-line

Document Type : Research Paper

Authors
Fatima Hamani 1
Azedine Rahmoune 2
1 Department of Mathematics, University of M'sila, 28000, Algeria
2 Department of Mathematics, University of Bordj Bou Arreridj, El Anasser, 34030, Algeria
10.22075/ijnaa.2021.21812.2298
Abstract
In this paper, we proposed two numerical methods to solve the nonlinear integral equations of Hammerstein type on the half line. By using a Sinc-Nyström method based on Single-Exponential (SE) and Double-Exponential (DE) transformations, the problem is converted into a nonlinear system of equations. We provided an error analysis of the proposed schemes and showed that these methods have exponential convergence rates. Finally, several numerical examples are given to show the effectiveness of the methods.
Keywords
Hammerstein integral equations
Half line
Sinc quadrature
Nyström method
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International Journal of Nonlinear Analysis and Applications
Volume 13, Issue 2
July 2022
Pages 361-369

  • Receive Date 13 November 2020
  • Accept Date 12 April 2021

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