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Farshid Mirzaee

Farshid Mirzaee

Academic rank: Professor
ORCID: 0000-0002-1429-2548
Education: PhD.
ScopusId: 6508385954
HIndex: 34/00
Faculty: Mathematical Sciences and Statistics
Address: Faculty of Mathematical Sciences and Statistics, Department of Applied Mathematics, Malayer University, 4 Km Malayer-Arak Road, P. O. Box 65719-95863, Malayer, Iran.
Phone: +98 - 81 - 32457459

Research

Title
A Fibonacci collocation method for solving a class of Fredholm–Volterra integral equations in two-dimensional spaces
Type
JournalPaper
Keywords
Two-dimensional Fredholm–Volterra integral equations; The Fibonacci polynomials; Collocation method
Year
2014
Journal Beni-Suef University Journal of Basic and Applied Sciences
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, we present a numerical method for solving two-dimensional Fredholm–Volterra integral equations (F-VIE). The method reduces the solution of these integral equations to the solution of a linear system of algebraic equations. The existence and uniqueness of the solution and error analysis of proposed method are discussed. The method is computationally very simple and attractive. Finally, numerical examples illustrate the efficiency and accuracy of the method.