Spectral Scheme for Solving Fuzzy Volterra Integral Equations of First Kind

محورهای موضوعی : Applied Mathematics

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

تاریخ دریافت : 1397/04/24 تاریخ پذیرش : 1397/09/29 تاریخ انتشار : 1397/09/10

کلید واژه: Fuzzy integral equation, Fuzzy Volterra integral equation of First-kind (F-VIE1), Gauss-Legendre points, Spectral method,

چکیده مقاله :

This paper discusses about the solution of fuzzy Volterra integral equation of first-kind (F-VIE1) using spectral method. The parametric form of fuzzy driving term is applied for F-VIE1, then three classifications for (F-VIE1) are searched to solve them. These classifications are considered based on the interval sign of the kernel. The Gauss-Legendre points and Legendre weights for arithmetics in spectral method are used to solve (F-VIE1). Finally, two examples are got to illustrate more. However, accuracy and efficiency are shown in tables. \