Successive Approximations Method for Solving 2D Nonlinear Singular Fredholm Integral Equations

Authors

  • Manochehr Kazemi Ashtian Branch, Islamic Azad University
  • Mohammad Reza Doostdar Zarandieh Branch, Islamic Azad University
  • Morteza Ghorbani Shahr-e-Qods Branch, Islamic Azad University

Keywords:

Integral equations, Iterative method, Modulus of continuity, Midpoint formula

Abstract

In the present paper, we propose a numerical method based on the combination of the fixed point method and quadrature formula for solving two-dimensional nonlinear Fredholm integral equations of the second kind (2DNFIEs). Using uniform and partial modulus of continuity, the error estimation is given. Also, the numerical stability with respect to the choice of the first iteration is proved. Moreover, the accuracy of the method and the correctness of the theoretical results are shown by some examples.

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Published

2023-02-04

Issue

Vol. 17

Section

Vol. 17, No. 1, (2023)

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