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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 meshfree method for solving multidimensional linear Fredholm integral equations on the hypercube domains
Type
JournalPaper
Keywords
Multidimensional integral equation Radial basis functions Collocation method Hypercube domains
Year
2017
Journal APPLIED MATHEMATICS AND COMPUTATION
DOI
Researchers Mohsen Esmaeilbeigi ، Farshid Mirzaee

Abstract

The main purpose of this article is to describe a numerical scheme for solving multidi- mensional linear Fredholm integral equations of the second kind on the hypercube do- mains. The method is based on interpolation by radial basis functions (RBFs) to approxi- mate the solution of the linear Fredholm integral equations. Error analysis is presented for this method. Finally, several examples are given and numerical examples are presented to demonstrate the validity and applicability of the method.