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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
Solving a class of nonlinear two-dimensional Volterra integral equations by using two-dimensional triangular orthogonal functions
Type
JournalPaper
Keywords
Nonlinear two-dimensional Volterra integral equations, triangular or- thogonal functions, Two-dimensional triangular orthogonal functions, orthogonal functions.
Year
2013
Journal Journal of Mathematical Modeling
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, the two-dimensional triangular orthogonal func- tions (2D-TFs) are applied for solving a class of nonlinear two-dimensional Volterra integral equations. 2D-TFs method transforms these integral equa- tions into a system of linear algebraic equations. The high accuracy of this method is verified through a numerical example and comparison of the re- sults with the other numerical methods.