Applying fuzzy wavelet like operator to the numerical solution of linear fuzzy Fredholm integral equations and error ‎analysis

Subject Areas : International Journal of Industrial Mathematics

F. Mokhtarnejad ¹ , R. Ezzati ²

1 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.
2 - Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.

Received: 2015-07-05 Accepted : 2015-07-05 Published : 2015-07-01

Keywords: Fuzzy Fredholm Integral Equati, Fuzzy wavelet like operator, Successive approximation ‎meth,

Abstract :

In this paper, we propose a successive approximation method based on fuzzy wavelet like operator to approximate the solution of linear fuzzy Fredholm integral equations of the second kind with arbitrary kernels. We give the convergence conditions and an error estimate. Also, we investigate the numerical stability of the computed values with respect to small perturbations in the first iteration. Finally, to show the efficiency of the proposed method, we present some test problems, for which the exact solutions are ‎known.‎