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

Manochehr Kazemi

Vol. 29 No. 1 (2024)

Regular Articles

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

Published 2024-03-12

Manochehr Kazemi

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

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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

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