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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
Approximation solution of nonlinear Stratonovich Volterra integral equations by applying modification of hat functions
Type
JournalPaper
Keywords
Modification of hat functions; Nonlinear Stratonovich Volterra integral ;equation Hyers–Ulam–Rassias stability; Operational matrix; Error analysis;
Year
2016
Journal JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
DOI
Researchers Farshid Mirzaee

Abstract

In this paper, we studied the Hyers–Ulam–Rassias stability for nonlinear Stratonovich Volterra integral equations. Also, we obtained stochastic operational matrix of modification of hat functions (MHFs) to numerically solve the nonlinear Stratonovich Volterra integral equations. Themain advantage of the proposed method is that it transforms problems under consideration into nonlinear systems of algebraic equations which can be simply solved. Finally, numerical examples are presented to certify convergence and accuracy of the method.