Spectral method for Solving Fuzzy Volterra Integral Equations of Second kind

Subject Areas : Applied Mathematics

Laleh Hooshangian ¹ (Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran)

Received: 2018-11-29 Accepted : 2019-03-04 Published : 2019-05-01

Keywords: Spectral method, Fuzzy integral equation, Fuzzy Volterra integral equation of Second-kind (F-VIE2), Gauss-Legendre points,

Abstract :

This paper, about the solution of fuzzy Volterra integral equation of fuzzy Volterra integral equation of second kind (F-VIE2) using spectral method is discussed. The parametric form of fuzzy driving term is applied for F-VIE2. Then three cases for (F-VIE2) are searched to solve them. This classifications are considered based on the sign of interval. The Gauss-Legendre points and Legendre weights for arithmetics in spectral method are used to solve (F-VIE2). Finally two examples are got to illustrate more.b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b b