Discrete Temimi-Ansari method for solving a class of stochastic nonlinear differential equations | Zendy

Mourad S. Semary | Zendy; Menna T. M. M. Elbarawy | Zendy; Aisha F. Fareed | Zendy

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Discrete Temimi-Ansari method for solving a class of stochastic nonlinear differential equations

Author(s) -

Mourad S. Semary,

Menna T. M. M. Elbarawy,

Aisha F. Fareed

Publication year - 2021

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.

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