Spectral Scheme for Solving Fuzzy Volterra Integral Equations of First Kind

This paper discusses about the solution of fuzzy Volterra integral equation of the first-kind (F-VIE1) with nonlinear fuzzy kernels using spectral method. In this method the Gauss-Legendre points and Legendre weights are used to solve fuzzy Volterra integral equation of the first-kind (F-VIE1) with nonlinear fuzzy kernels. Indeed the parametric form of fuzzy driving term is applied for F-VIE1. Three classifications for F-VIE1 are searched to solve them, that these classifications are considered based on the interval sign of the kernel. Finally, two examples in two different cases are got to illustrate more. However, accuracy and efficiency are shown in tables.