Open AccessDiscrete Temimi-Ansari method for solving a class of stochastic nonlinear differential equations
Author(s) -
Mourad S. Semary,
AUTHOR_ID,
Menna T. M. M. Elbarawy,
Aisha F. Fareed,
AUTHOR_ID
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022283
Subject(s) - brusselator , nonlinear system , stochastic differential equation , class (philosophy) , mathematics , differential equation , mathematical analysis , computer science , physics , quantum mechanics , artificial intelligence
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.