Quadrature Rules for Solving Two-Dimensional Fredholm Integral Equations of Second Kind

Articles in Press

Document Type : Research Paper

Authors

1 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran; Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran.

2 Department of Mathematics, Ashtian Branch, Islamic Azad University, Ashtian, Iran

10.22128/gadm.2024.855.1116

Abstract

‎ In this paper, an iterative method of successive approximations based on the trapezoidal quadrature rule to solve two-dimensional Fredholm integral equations of second kind (2DFIE) is proposed. The error estimation of the proposed method is presented. The benefit of the method is that we do not have to solve a system of algebraic equations. Finally, a numerical example verify the theoretical results and show the accuracy of the method.

Keywords

References

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Analytical and Numerical Solutions for Nonlinear Equations

Articles in Press, Accepted Manuscript
Available Online from 27 October 2024

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  • Receive Date: 27 July 2024
  • Revise Date: 10 October 2024
  • Accept Date: 20 October 2024

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