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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
Laguerre polynomials and colloction method for numerical solutions of linear Volterra integral equation
Type
Presentation
Keywords
Volterra integral equations, Laguerre polynomials, Collocation method
Year
2016
Researchers Farshid Mirzaee

Abstract

Volterra integral equations are particular importance in various branches of science. The subject of the presented paper is applying the Laguerre polynomials method and collocation method for solving linear Volterra integral equations. For this purpose, we approximate the unknown function by Laguerre series expansion and then we use collocation method on integral equations and we change integral equations into their matrix forms. Next coefficients unknown function is obtained with necessary calculations. One of advantages of this method is that there is no need to solve the system.