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- MakaleYalnız künye2021Scopus SJRQ3The performance of wong-zakai approximations for the investigation of stochastic differential equation models with nonlinear multiplicative noise
Sengul, S.; Bekiryazici, Z.; Merdan, M.
In this study, Wong-Zakai approximation method has been applied for the analysis of stochastic differential equations appearing in engineering sciences. Wong-Zakai approximation has been used with similar stochastic approximation methods to compare the approximate solutions of the problems and comment on the performance of the method. Models for lake pollution and computer virus spread under antivirus protection have been used with nonlinear stochastic noise as numerical examples to demonstrate the efficiency of Wong-Zakai method.
- MakaleAçık Erişim2021Scopus SJRQ3Wong-Zakai Method for Stochastic Differential Equations in Engineering
Sengul, Suleyman; Bekiryazici, Zafer; Merdan, Mehmet
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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