Fourth-order Runge-Kutta method for solving Zhou’s chaotic system
1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang.
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2010
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my.unimap-102342010-11-16T05:08:31Z Fourth-order Runge-Kutta method for solving Zhou’s chaotic system Ummu ‘Atiqah, Mohd Roslan Zabidin, Salleh Adem, Kılıçman ummuatiqah@umt.edu.my zabidin@umt.edu.my akilicman@science.upm.edu.my Fourth-order Runge-Kutta method Zhou’s chaotic system Initial value problem Regional Conference on Applied and Engineering Mathematics (RCAEM) 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. Many engineering problems can be modeled by ordinary differential equations (ODEs). These problems can be solved by using various methods. In this paper, we will use the Runge-Kutta method of order four (RK4) to solve Zhou’s chaotic system. This method is used because it is the most popular, commonly used compared to other methods, can obtain greater accuracy and does not need the calculation of higher derivatives. We use the Maple software to solve this system and MATLAB to plot the solutions. The results are given for different number of iterations with corresponding range of time, . 2010-11-16T05:08:31Z 2010-11-16T05:08:31Z 2010-06-02 Working Paper Vol.1(4), p.48-52 http://hdl.handle.net/123456789/10234 en Proceedings of the 1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 Universiti Malaysia Perlis (UniMAP) Institut Matematik Kejuruteraan |
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Fourth-order Runge-Kutta method Zhou’s chaotic system Initial value problem Regional Conference on Applied and Engineering Mathematics (RCAEM) |
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Fourth-order Runge-Kutta method Zhou’s chaotic system Initial value problem Regional Conference on Applied and Engineering Mathematics (RCAEM) Ummu ‘Atiqah, Mohd Roslan Zabidin, Salleh Adem, Kılıçman Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
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1st Regional Conference on Applied and Engineering Mathematics (RCAEM-I) 2010 organized by Universiti Malaysia Perlis (UniMAP) and co-organized by Universiti Sains Malaysia (USM) & Universiti Kebangsaan Malaysia (UKM), 2nd - 3rd June 2010 at Eastern & Oriental Hotel, Penang. |
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ummuatiqah@umt.edu.my |
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ummuatiqah@umt.edu.my Ummu ‘Atiqah, Mohd Roslan Zabidin, Salleh Adem, Kılıçman |
format |
Working Paper |
author |
Ummu ‘Atiqah, Mohd Roslan Zabidin, Salleh Adem, Kılıçman |
author_sort |
Ummu ‘Atiqah, Mohd Roslan |
title |
Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
title_short |
Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
title_full |
Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
title_fullStr |
Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
title_full_unstemmed |
Fourth-order Runge-Kutta method for solving Zhou’s chaotic system |
title_sort |
fourth-order runge-kutta method for solving zhou’s chaotic system |
publisher |
Universiti Malaysia Perlis (UniMAP) |
publishDate |
2010 |
url |
http://dspace.unimap.edu.my/xmlui/handle/123456789/10234 |
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1643789776240771072 |