The multistage homotopy perturbation method for solving hyperchaotic Chen system

The multistage homotopy perturbation method for solving hyperchaotic Chen system

Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time....

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Main Authors: Chowdhury, Md. Sazzad Hossien, Razali, Nur Isnida, Asrar, Waqar
Format: Conference or Workshop Item
Language:English
English
Published: IOP Publishing Ltd. 2018
Subjects:
QA Mathematics
QA297 Numerical Analysis
Online Access:http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/1/The%20Multistage%20Homotopy%20Perturbation%20method%20for%20solving%20Hyperchaotic%20Chen%20system.pdf
http://irep.iium.edu.my/61805/7/61805_The%20Multistage%20Homotopy%20Perturbation%20method_scopus.pdf
id iium-61805
recordtype eprints
spelling iium-618052018-06-26T07:16:30Z http://irep.iium.edu.my/61805/ The multistage homotopy perturbation method for solving hyperchaotic Chen system Chowdhury, Md. Sazzad Hossien Razali, Nur Isnida Asrar, Waqar QA Mathematics QA297 Numerical Analysis Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time. To overcome this shortcoming, we employ the multistage homotopy-perturbation method (MHPM) to the nonlinear hyperchaotic Chen system. Based on the cases investigated, MHPM is more stable for a longer time span than the standard HPM. Comparisons with the standard HPM and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the MHPM is a powerful alternative for nonlinear hyper chaotic system. The new algorithm and the new technique for choosing the initial approximations were shown to yield rapidly convergent series solutions. IOP Publishing Ltd. 2018-01 Conference or Workshop Item PeerReviewed application/pdf en http://irep.iium.edu.my/61805/1/The%20Multistage%20Homotopy%20Perturbation%20method%20for%20solving%20Hyperchaotic%20Chen%20system.pdf application/pdf en http://irep.iium.edu.my/61805/7/61805_The%20Multistage%20Homotopy%20Perturbation%20method_scopus.pdf Chowdhury, Md. Sazzad Hossien and Razali, Nur Isnida and Asrar, Waqar (2018) The multistage homotopy perturbation method for solving hyperchaotic Chen system. In: 4th International Conference on Mathematical Applications in Engineering 2017, ICMAE 2017, 8th – 9th of August 2017, Kuala Lumpur, Malaysia. http://iopscience.iop.org/article/10.1088/1742-6596/949/1/012005 doi :10.1088/1742-6596/949/1/012005
repository_type Digital Repository
institution_category Local University
institution International Islamic University Malaysia
building IIUM Repository
collection Online Access
language English
English
topic QA Mathematics
QA297 Numerical Analysis
spellingShingle QA Mathematics
QA297 Numerical Analysis
Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Asrar, Waqar
The multistage homotopy perturbation method for solving hyperchaotic Chen system
description Finding accurate and efficient methods for solving nonlinear hyper chaotic problems has long been an active research undertaking. Like the well-known Adomian decomposition method (ADM) and based on observations, it is hopeless to find HPM solutions of hyper chaotic systems valid globally in time. To overcome this shortcoming, we employ the multistage homotopy-perturbation method (MHPM) to the nonlinear hyperchaotic Chen system. Based on the cases investigated, MHPM is more stable for a longer time span than the standard HPM. Comparisons with the standard HPM and the well-known purely numerical fourth-order Runge-Kutta method (RK4) suggest that the MHPM is a powerful alternative for nonlinear hyper chaotic system. The new algorithm and the new technique for choosing the initial approximations were shown to yield rapidly convergent series solutions.
format Conference or Workshop Item
author Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Asrar, Waqar
author_facet Chowdhury, Md. Sazzad Hossien
Razali, Nur Isnida
Asrar, Waqar
author_sort Chowdhury, Md. Sazzad Hossien
title The multistage homotopy perturbation method for solving hyperchaotic Chen system
title_short The multistage homotopy perturbation method for solving hyperchaotic Chen system
title_full The multistage homotopy perturbation method for solving hyperchaotic Chen system
title_fullStr The multistage homotopy perturbation method for solving hyperchaotic Chen system
title_full_unstemmed The multistage homotopy perturbation method for solving hyperchaotic Chen system
title_sort multistage homotopy perturbation method for solving hyperchaotic chen system
publisher IOP Publishing Ltd.
publishDate 2018
url http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/
http://irep.iium.edu.my/61805/1/The%20Multistage%20Homotopy%20Perturbation%20method%20for%20solving%20Hyperchaotic%20Chen%20system.pdf
http://irep.iium.edu.my/61805/7/61805_The%20Multistage%20Homotopy%20Perturbation%20method_scopus.pdf
first_indexed 2023-09-18T21:27:39Z
last_indexed 2023-09-18T21:27:39Z
_version_ 1777412299300012032

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