Wong-Zakai method for stochastic differential equations in engineering
Süleyman Şengül, Zafer Bekiryazıcı, Mehmet Merdan
Abstract
Open-access reader
Süleyman Şengül, Zafer Bekiryazıcı, Mehmet Merdan
Abstract
Open-access reader
In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are compared with results from popular approximation schemes for stochastic differential equations such as Euler-Maruyama and Milstein methods. Several differential equations from engineering problems containing stochastic noise are investigated as numerical examples. Results show that Wong-Zakai method is a reliable tool for studying stochastic differential equations and can be used as an alternative for the known approximation techniques for stochastic models.
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In this paper, Wong-Zakai approximation methods are presented for some stochastic differential equations in engineering sciences. Wong-Zakai approximate solutions of the equations are analyzed and the numerical results are compared with results from popular approximation schemes for stochastic differential equations such as Euler-Maruyama and Milstein methods. Several differential equations from engineering problems containing stochastic noise are investigated as numerical examples. Results show that Wong-Zakai method is a reliable tool for studying stochastic differential equations and can be used as an alternative for the known approximation techniques for stochastic models.
Key concepts: Stochastic partial differential equation, Stochastic differential equation, Euler method, Numerical partial differential equations, Applied mathematics, Mathematics, Euler equations, Examples of differential equations