A New Efficient Method for Solving System of Fuzzy Volterra Integral Equations Based on Fibonacci ‎Polynomials

الموضوعات : مجله بین المللی ریاضیات صنعتی

T. Sheverini ¹ , M. Paripour ² , N. Karamikabir ³

1 - Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.
2 - Department of Computer Engineering and Information Technology, Hamedan University of Technology, Hamedan, Iran.
3 - Department of Mathematics, Hamedan Branch, Islamic Azad University, Hamedan, Iran.

تاريخ الإرسال : 02 الخميس , ذو الحجة, 1441 تاريخ التأكيد : 17 الإثنين , ربيع الثاني, 1443 تاريخ الإصدار : 29 الجمعة , شعبان, 1443

الکلمات المفتاحية: Convergence, Fibonacci polynomials, Volterra integral equations, fuzzy, Collocation method,

ملخص المقالة :

Here, based on the Fibonacci polynomials, a new collocation method is presented in order to solve the system of linear fuzzy Volterra integral equations of the second kind. By using this method, these systems are reduced to a linear system of algebraic equations that are easily solvable. Also, the existence of the solution and error analysis of the proposed method are discussed. Finally, in order to show the importance and application of the proposed method, we have used several illustrative examples. The method is computationally very attractive and gives very accurate results. Easy implementation and simple operations are the essential features of the Fibonacci polynomials.