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

• 2022
العودة
معلومات البحث
المؤلفون Mourad S. Semary1 , M. T. M. Elbarawy2,* and Aisha F. Fareed1
الكلمات المفتاحية Temimi-Ansari method; stochastic nonlinear differential equations; Langevin's equation; Ginzburg-Landau equation; Davis-Skodje and Brusselator systems
المجلة العلمية Not Available
الناشر Not Available
المجلد Not Available
العدد Not Available
الصفحات Not Available
publication.type International
رابط البحث Not Available
المواد المرفقة Aisha Fathy Abd El-Qader Fareed_aa.pdf
الملخص
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.