| publication name | 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 | |
| volume | Not Available |
| issue | Not Available |
| pages | Not Available |
| publisher | Not Available |
| Local/International | International |
| Paper Link | Not Available |
| Full paper | download |
| 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.