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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
A collocation technique for solving nonlinear stochastic Itô–Volterra integral equations
Type
JournalPaper
Keywords
Delta functions; Stochastic; Operational matrices; Collocation; Vector forms; Error analysis
Year
2014
Journal APPLIED MATHEMATICS AND COMPUTATION
DOI
Researchers Farshid Mirzaee

Abstract

A numerical method for solving nonlinear Stochastic Itô–Volterra equations is proposed. The method is based on delta function (DF) approximations. The properties of DFs and their operational matrix of integration together with the Newton–Cotes nodes are presented and utilized to reduce the problem to the solution of a nonlinear system of algebraic equations. The method is computationally attractive and some numerical examples are provided to illustrate its high accuracy.