A New Iterative Method For Solving Fuzzy Integral ‎Equations

Subject Areas : International Journal of Industrial Mathematics

R.  Ezzati ¹ (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
S.  Ziari ² (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)
S. M.  ‎Sadatrasoul‎ ³ (Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.)

Received: 2017-09-05 Accepted : 2017-09-05 Published : 2017-07-01

Keywords: Fuzzy Fredholm Integral Equati, Modulus of continuity, Partial modulus of continuity, fuzzy Bernstein ‎polynomials,

Abstract :

In the present work, by applying known Bernstein polynomials and their advantageous properties, we establish an efficient iterative algorithm to approximate the numerical solution of fuzzy Fredholm integral equations of the second kind. The convergence of the proposed method is given and the numerical examples illustrate that the proposed iterative algorithm are ‎valid.‎