The Solution of Fuzzy Integral Equation by Using Sinc Collocation Method
A. Hosseinpour *
Young Researchers and Elite Club, Kermanshah Branch, Islamic Azad University, Kermanshah, Iran.
*Author to whom correspondence should be addressed.
Abstract
The present paper recommends a new approach to solve a fuzzy integral equation. In this work, our main purpose is finding an approximate solution of this problem by using Sinc-collocation method. We first present some properties of the Sinc-collocation method required for our work, then some basic concepts and necessary materials of fuzzy numbers are expressed in the third part of this paper. In the next section, we apply our method for fuzzy integral equation and show that the approximate solution converges to the exact solution at an exponential rate. Numerical examples given in the last part confirm the accuracy and validity of our new technique. In this example, we obtain the Hausdorff distance between exact solution and approximate solution.
Keywords: Fuzzy integral equations, Sinc-collocation methods, Hilbert space, Conformal map, Whittakers cardinal function.