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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
Using operational matrix for solving nonlinear class of mixed Volterra–Fredholm integral equations
Type
JournalPaper
Keywords
Nonlinear mixed Volterra–Fredholm integral equations; Modification of hat functions; Operational matrices; Vector form; Error analysis
Year
2017
Journal Mathematical Methods in the Applied Sciences
DOI
Researchers Farshid Mirzaee

Abstract

This paper presents a computational technique for the solution of the nonlinear mixed Volterra–Fredholm integral equations of the second kind. Using the properties of three-dimensional modification of hat functions, these are types of equations to a nonlinear system of algebraic equations. Also, convergence results and error analysis are discussed. The efficiency and accuracy of the proposed method is illustrated by numerical examples.