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Stability Control of Stretch-Twist-Fold Flow by Using Numerical Methods
Department of Mathematics and Statistics, Chongqing University, Chongqing, China
Department of Mathematics and Statistics, Chongqing University, Chongqing, China
Sustainable Energy Technologies Center, King Saud University, Riyadh, KSA
- 1 Department of Mathematics and Statistics, Chongqing University, Chongqing, China
- 2 Department of Mathematics and Statistics, Chongqing University, Chongqing, China
- 3 Sustainable Energy Technologies Center, King Saud University, Riyadh, KSA
World Journal of Mechanics·Volume 02 (2012)·Pages 334–338·Published 20 December 2012·DOI10.4236/wjm.2012.26039
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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.
KeywordsSTF SystemChaosModified MethodFixed Point Iteration MethodNewton’s Method
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