Staff Members - Benha University
Discrete Temimi-Ansari method for solving a class of stochastic nonlinear differential equations
• 2022
Publication Information
Authors
Mourad S. Semary1
, M. T. M. Elbarawy2,* and Aisha F. Fareed1
Keywords
Temimi-Ansari method; stochastic nonlinear differential equations; Langevin's equation;
Ginzburg-Landau equation; Davis-Skodje and Brusselator systems
Journal
Not Available
Publisher
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Volume
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Issue
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Pages
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publication.type
International
Paper Link
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Supplementary Materials
Aisha Fathy Abd El-Qader Fareed_aa.pdf
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.
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.