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Somayeh Nemati

Somayeh Nemati

Academic rank: Associate Professor
ORCID:
Education: PhD.
ScopusId:
HIndex:
Faculty: Faculty of Mathematical Sciences
Address:
Phone: 01135302419

Research

Title
A Numerical Method Based on Cubic Hat Functions to Solve Fractional Stochastic Differential Equations Driven by Fractional Brownian Motion
Type
Presentation
Keywords
Fractional stochastic differential equations, Fractional Brownian motion, Cubic hat functions, Collocation points.
Year
2024
Researchers Zahra Zarei Velojai ، Afshin Babaei ، Somayeh Nemati

Abstract

In this paper, an efficient numerical technique for solving fractional stochastic differential equations driven by fractional Brownian motion is provided. The proposed method is based on the cubic hat functions and their operational matrix of fractional integration. Properties of these basis functions together with a set of grid points help us to reduce the problem to a system of algebraic equations. An example and its numerical results demonstrate the effectiveness of the proposed method.