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Dr. Aisha Fathy Abd El-Qader Fareed :: Publications: |
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| Title: | Discrete Temimi-Ansari method for solving a class of stochastic
nonlinear differential equations |
| Authors: | Mourad S. Semary1 , M. T. M. Elbarawy2,* and Aisha F. Fareed1 |
| Year: | 2022 |
| Keywords: | Temimi-Ansari method; stochastic nonlinear differential equations; Langevin's equation; Ginzburg-Landau equation; Davis-Skodje and Brusselator systems |
| Journal: | Not Available |
| Volume: | Not Available |
| Issue: | Not Available |
| Pages: | Not Available |
| Publisher: | Not Available |
| Local/International: | International |
| Paper Link: | Not Available |
| Full paper | Aisha Fathy Abd El-Qader Fareed_aa.pdf |
| 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. |
