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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
Radial basis functions method for solving three-dimensional linear Fredholm integral equations on the cubic domains
Type
JournalPaper
Keywords
Three-dimensional integral equation; Radial basis functions; Collocation method; Cubic domains.
Year
2017
Journal iranian journal of numerical analysis and optimization
DOI
Researchers Mohsen Esmaeilbeigi ، Farshid Mirzaee

Abstract

The main purpose of this article is to describe a numerical scheme for solving three-dimensional linear Fredholm integral equations of the second kind on the cubic domains. The method is based on interpolation by radial basis functions (RBFs) based on Gauss-Legendre nodes and weights. 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.