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

Shahab Ud-Din Khan, Yonglu Shu, Salah Ud-Din Khan

Department of Mathematics and Statistics, Chongqing University, Chongqing, China.
Sustainable Energy Technologies Center, King Saud University, Riyadh, KSA.

DOI: 10.4236/wjm.2012.26039                

Abstract

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.

Keywords

STF System; Chaos; Modified Method; Fixed Point Iteration Method; Newton’s Method

Conflicts of Interest

The authors declare no conflicts of interest.

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