Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle

摘要

In this paper, a numerical procedure is proposed for solving the fuzzy linear Fredholm integral equations of the second kind by using Lagrange interpolation based on the extension principle. For this purpose, a numerical algorithm is presented, and two examples are solved by applying this algorithm. Moreover, a theorem is proved to show the convergence of the algorithm and obtain an upper bound for the distance between the exact and the numerical solutions.