A novel method to solve fuzzy Volterra integral equations using collocation method

Theory of Approximation and Applications

مقاله 11، دوره 14، شماره 2، اسفند 2020، صفحه 115-130   

نوع مقاله: Research Articles

نویسندگان

Nouredin Parandin^* ؛ Mohsen Darabi

Department of Mathematics, Islamic Azad University, Kermanshah Branch, kermanshah, Iran

چکیده

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.

کلیدواژه‌ها

Fuzzy Volterra integral equation؛ Fibonacci polynomial؛ Collocation method