USING LAGRANGE INTERPOLATION FOR NUMERICAL SOLUTION OF TWO-DIMENSIONAL FREDHOLM INTEGRAL EQUATIONS

Authors

  • Noradin Parandin Department of Mathematics, Faculty of Science, University
  • Gholam Reza Farahmand Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran
  • Nasrin Karamikabir Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran

DOI:

https://doi.org/10.30495/jme.v17i0.2858

Abstract

We present a numerical method for solving Fredholm two-dimensional integral equations in this study.Our approach is based on two-dimensional Lagrange interpolation polynomials. A numerical algorithmis described for this purpose, and two cases are solved using this algorithm. Furthermore, a theoremis proved to demonstrate the algorithm’s convergence and to obtain an upper bound on the distancebetween the exact and numerical solutions

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Published

2024-01-15

Issue

Vol. 17

Section

Vol. 17, No. 12, (2023)

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