A novel method to solve fuzzy Volterra integral equations using collocation method
Subject Areas : Fuzzy Sets and Systems
Nouredin Parandin
1
,
Mohsen Darabi
2
1 - Department of Mathematics, Islamic Azad University, Kermanshah Branch, kermanshah, Iran
2 - Department of Mathematics, Islamic Azad University, Kermanshah Branch, kermanshah, Iran
Keywords: Fuzzy Volterra integral equation, Fibonacci polynomial, collocation method,
Abstract :
Fuzzy Volterra integral equations, especially the second kind is interested for researchers to be solved withnumerical methods since analytical methods are not applicable. Here a new study based on Fibonacci polynomialscollocation method in order to solve them is introduced. Some properties of these polynomials are consideredto implement a collocation method in order to approximate the solution of Fuzzy Volterra integral equations ofthe second kind. The existence and uniqueness of the solution also convergence and error analysis of proposedmethod are proved thoroughly. The results showed the calculations of the method are simple and low cost.