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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
Numerical solution of optimal control problem of the non-linear Volterra integral equations via generalized hat functions
Type
JournalPaper
Keywords
Optimal control, Volterra integral equation, Generalize hat functions, Operational matrices, Error analysis.
Year
2017
Journal IMA Journal of Mathematical Control and Information
DOI
Researchers Farshid Mirzaee

Abstract

This paper presents a numerical method for solving optimal control problems including non-linear Volterra integral equations. The method is based upon generalized hat functions (HFs). Using the properties of HFs and associated operational matrices, optimal control problem is converted to an optimization problem. Furthermore, error analysis of the proposed method is studied. Illustrative examples are included to demonstrate the validity and applicability of the approach.