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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
Stochastic operational matrix method for solving stochastic differential equation by a fractional Brownian motion
Type
JournalPaper
Keywords
Hat functions, Stochastic operational matrix, Stochastic differential equation, Fractional Brownian motion, Error analysis
Year
2017
Journal International Journal of Applied and Computational Mathematics
DOI
Researchers Farshid Mirzaee

Abstract

This article proposes an effective method for solving stochastic differential equations (SDEs) driven by fractional Brownian motion with Hurst parameter H ∈ (0, 1/2) and n independent one-dimensional standard Brownian motion. Hat basis functions and their stochastic operational matrix, convert the SDE into a linear lower triangular system. Also, the error analysis of the proposed method is investigated and we prove that the order of convergence is O(h2). Then, numerical examples affirm the efficiency of the method.