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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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Bibliographic Details
Main Authors: Ummu ‘Atiqah, Mohd Roslan, Zabidin, Salleh, Adem, Kılıçman
Other Authors: ummuatiqah@umt.edu.my
Format: Working Paper
Language:English
Published: Universiti Malaysia Perlis (UniMAP) 2010
Subjects:
Fourth-order Runge-Kutta method
Zhou’s chaotic system
Initial value problem
Regional Conference on Applied and Engineering Mathematics (RCAEM)
Online Access:http://dspace.unimap.edu.my/xmlui/handle/123456789/10234
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spelling 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
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Fourth-order Runge-Kutta method
Zhou’s chaotic system
Initial value problem
Regional Conference on Applied and Engineering Mathematics (RCAEM)
spellingShingle 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
description 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.
author2 ummuatiqah@umt.edu.my
author_facet 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
_version_ 1643789776240771072
score 13.214268

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