Numerical solution of fuzzy Fredholm integral equations by the Lagrange interpolation based on the extension principle (Q416292)

It is known that the iterative method can be used to calculate approximate solutions of a Fredholm integral equation of the second kind. The authors apply this method to solve the fuzzy integral equation \[ \tilde{F}(t)= \tilde{f}(t) +\int_{a}^{b}K(t,s)\tilde{F}(s)ds. \] A numerical solution is obtained using the quadrature rule based on the interpolation polynomials of Lagrange. The computation of the coefficients \(B_{i}\) in the given algorithm is not necessary, they are the known Newton-Cotes coefficients.