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

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.

Keywords

• temimi-ansari method
• stochastic nonlinear differential equations
• langevin's equation
• ginzburg-landau equation
• davis-skodje and brusselator systems