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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 new improved hat function for numerical solution of linear Fredholm integral equations
Type
JournalPaper
Keywords
Modified hat functions; Fredholm integral equation; Vector forms; Operational matrices; Error analysis
Year
2017
Journal Thai Journal of Mathematics
DOI
Researchers Farshid Mirzaee

Abstract

A new and efficient numerical approach is developed for solving linear Fredholm integral equations. The fundamental structure of the presented method is based on the modification of hat functions (MHFs) in which a new operational matrix of integration is introduced. After implementation of our scheme, the solution of the main problem would be transformed into the solution of a system of linear algebraic equations. Also, an error analysis is provided under several mild conditions. In addition, examples that illustrate the pertinent features of the method are presented, and the results are discussed.