Spectral Method for Solving Fuzzy Volterra Integral Equations of Second kind

Theory of Approximation and Applications

مقاله 8، دوره 14، شماره 1، مرداد 2020، صفحه 97-107   

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. These 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.

کلیدواژه‌ها

Variational Homotopy perturbation method, Fuzzy Volterra integral equation؛ Nonlinear fuzzy kernels