Spectral method for Solving Fuzzy Volterra Integral Equations of Second kind

Theory of Approximation and Applications

مقاله 6، دوره 13، شماره 1، مرداد 2019، صفحه 67-81   

نوع مقاله: Research Articles

نویسنده

Laleh Hooshangian^*

Department of Mathematics, Dezful Branch, Islamic Azad University, Dezful, Iran

چکیده

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

کلیدواژه‌ها

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