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Research Article Open access CC BY 4.0

Wong-Zakai Method Applications for Explicitly Solvable Stochastic Differential Equations

Süleyman Şengül, Mehmet Merdan

Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 24 Oct 2019

10.9734/jamcs/2019/v34i1-230202

Abstract

In this study, three Ito stochastic differential equations with multiplicative noise are investigated with Wong-Zakai method. The stochastic differential equations are also analyzed by Euler-Maruyama, Milstein and Runge Kutta stochastic approximation methods. The relative errors of these three methods are compared and the performance of Wong-Zakai method is shown alongside numerical results.

Wong-Zakai method stochastic differential equations Euler method Milstein method.

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