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

Noradin Parandin, Gholam Reza Farahmand, Nasrin Karamikabir

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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