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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
Numerical solution of Fredholm integral equations by using hybrid Bernstein and block-pulse functions
Type
Presentation
Keywords
Fredholm type of integral equations; Block-pulse functions; Bernstein polynomials.
Year
2013
Researchers Farshid Mirzaee

Abstract

In this paper, we use a combination of Bernstein and block-pulse functions on the interval [0,1], that is called hybrid functions to estimate the solution of linear and nonlinear Fredholm integral equations. First, we present some properties of these functions then we use them for converting the Fredholm integral equations to a system of equations.An illustrative example is included to demonstrate the validity and applicability of this technique.