Two computational methods for solving linear Fredholm fuzzy integral equation of the second kind

摘要

In this paper, we present two methods which will exploit hybrid Legendre and block-pulse functions, and Legendre wavelets as bases for L2 ([0, 1] × [0, 1]), to find an approximate solution for a system of linear Fredholm integral equation of the second kind with two variables. We will apply our methods for an applied example, linear Fredholm fuzzy integral equation of the second kind [M. Friedman, Ma Ming, A. Kandel, Numerical solutions of fuzzy differential and integral equations, Fuzzy Sets and Systems 106 (1999) 35–48].