On Optimal Quadrature Rule for Solving Fuzzy Fredholm Integral Equations

Subject Areas : International Journal of Industrial Mathematics

R.  Ezzati ¹ (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
M.  M. Sadatrasou ² (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)

Received: 2019-08-18 Accepted : 2019-08-18 Published : 2016-11-01

Keywords: Fuzzy integral equations, Optimal quadrature formula, Iterative methods, Numerical stability ‎analysis,

Abstract :

In this paper, we present an efficient iterative procedure based on optimal fuzzy quadrature formula to solve fuzzy integral equations. Error estimation and the numerical stability analysis with respect to the choice of the first iteration are given. Some illustrative and comparative numerical experiments confirm the optimization of the successive ‎method.‎