Using Block Pulse Functions for Solving Stochastic Differential Equations Driven by Fractional Brownian motion
Published on: 2021-01-24
This paper introduces a numerical method for solving the nonlinear stochastic differential equations (NSDEs) driven by independent one-dimensional fractional Brownian motion with hurst parameters The method is stated by conversion of the fractional Brownian motion to the standard Brownian motion combined with the collocation method. Using this approach, the NSDEs are reduced to a stochastic nonlinear system of equations and unknowns. Finally, error analysis is given on some theorems and assumptions on the coefficients of the NSDEs. Also, applicability and accuracy of method is stated by a numerical example in field of a stochastic population growth model.