Numerical solution of two-dimensional fuzzy Fredholm integral equations using collocation fuzzy wavelet like ‎operator‎

Subject Areas : International Journal of Industrial Mathematics

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

Received: 2016-02-04 Accepted : 2016-02-04 Published : 2015-10-01

Keywords: Fuzzy linear system, Two-dimensional fuzzy Fredholm, Fuzzy wavelet like ‎operator.‎,

Abstract :

In this paper‎, ‎first we propose a new method to approximate the solution of two-dimensional linear fuzzy Fredholm integral equations of the second kind based on the fuzzy wavelet like operator‎. ‎Then‎, ‎we discuss and investigate the convergence and error analysis of the proposed method‎. ‎Finally‎, ‎to show the accuracy of the proposed method‎, ‎we present two numerical ‎examples.‎