Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods

• 作者: Salah Ud-Din Khan Shahab Ud-Din Khan Yonglu Shu
• 来源期刊: 力学国际期刊(英文)
• 学科: 数学
• 关键词: STF System CHAOS Modified METHOD Fixed Point ITERATION METHOD Newton’s METHOD
• 年，卷（期）: 2012,（6）
• 页码范围: 334-338
• 页数: 5页
• 分类号: O1

摘要

In this study, the multistep method is applied to the STF system. This method has been tested on the STF system, which is a three-dimensional system of ODE with quadratic nonlinearities. A computer based Matlab program has been developed in order to solve the STF system. Stable and unstable position of the system has been analyzed graphically and finally a comparison as well as accuracy between two-step sizes with detail. Newton’s method has been applied to show the best convergence of this system.