A Novel Method to Solve Fuzzy Volterra Integral Equations Using Collocation Method

Fuzzy Volterra integral equations, especially the second kind is interested for researchers to be solved with numerical methods since analytical methods are not applicable. Here a new study based on Fibonacci polynomials collocation method in order to solve them is introduced. Some properties of these polynomials are considered to implement a collocation method in order to approximate the solution of Fuzzy Volterra integral equations of the second kind. The existence and uniqueness of the solution also convergence and error analysis of proposed method are proved thoroughly. The results showed the calculations of the method are simple and low cost