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J. O. Fatokun and I. K. O. Aji-bola, “A Collocation Multistep Method for Integrating Ordinary Differential Equations on Manifolds,” African Journal of Mathematics and Computer Science Research, Vol. 2, No. 4, 2009, pp. 51-55.

has been cited by the following article:

• 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.