2024 : 10 : 16

nasrin samadyar

Academic rank: Assistant Professor
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Education: PhD.
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Research

Title
NUMERICAL SOLUTION OF NONLINEAR STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY VARIABLE ORDER FRACTIONAL BROWNIAN MOTION
Type
Presentation
Keywords
Stochastic differential equations; Operational matrix method; Piecewise function
Year
2024
Researchers nasrin samadyar

Abstract

In this paper, an operational matrix approach based on hybrid of block-pulse and parabolic functions (HBPFs) has been introduced for solving a modern class of stochastic differential equations (SDEs). The mechanism of this approach is based on stochastic and fractional integration operational matrices, which transform the intended problem to a nonlinear system of algebraic equations. Thus, the complexity of solving the mentioned problem is reduced significantly. Finally, the accuracy and efficiency of the proposed algorithm have been experimentally investigated through a test problem.