TITLE:
Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods
AUTHORS:
Shahab Ud-Din Khan, Yonglu Shu, Salah Ud-Din Khan
KEYWORDS:
STF System; Chaos; Modified Method; Fixed Point Iteration Method; Newton’s Method
JOURNAL NAME:
World Journal of Mechanics,
Vol.2 No.6,
December
31,
2012
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.