@article{Semary2022, 
author = {Mourad S. Semary and M. T. M. Elbarawy and Aisha F. Fareed},
title = {Discrete Temimi-Ansari method for solving a class of stochastic nonlinear differential equations},
year = {2022},
journal = {AIMS Mathematics},
volume = {7},
number = {4},
pages = {5093-5105},
keywords = {Temimi-Ansari method, stochastic nonlinear differential equations, Langevin's equation, Ginzburg-Landau equation, Davis-Skodje and Brusselator systems},
url = {https://www.sciopen.com/article/10.3934/math.2022283},
doi = {10.3934/math.2022283},
abstract = {In this paper, a numerical method to solve a class of stochastic nonlinear differential equations is introduced. The proposed method is based on the Temimi-Ansari method. The special states of the four systems are studied to show that the proposed method is efficient and applicable. These systems are stochastic Langevin's equation, Ginzburg-Landau equation, Davis-Skodje, and Brusselator systems. The results clarify the accuracy and efficacy of the presented new method with no need for any restrictive assumptions for nonlinear terms.}
}