Original scientific paper

Sinc approximation for numerical solutions of two-dimensional nonlinear Fredholm integral equations

Manochehr Kazemi ; Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran *

* Corresponding author.

Abstract

A new efficient iterative method of successive approximations based on the fixed point method and sinc quadrature is proposed for two-dimensional nonlinear Fredholm integral equations of the second kind (2DNFIEs). We have given the convergence
and error analysis of the suggested method. Besides, the numerical stability of the method concerning the choice of the rst iteration is veried.

Keywords

Iterative approach, Sinc quadrature, Numerical stability, Fixed point method

Hrčak ID:

315321

URI

https://hrcak.srce.hr/315321

Publication date:

19.3.2024.

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