Spectral method for Solving Fuzzy Volterra Integral Equations of Second kind

محورهای موضوعی : Applied Mathematics

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

تاریخ دریافت : 1397/09/08 تاریخ پذیرش : 1397/12/13 تاریخ انتشار : 1398/02/11

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

چکیده مقاله :

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