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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| Format: | Proceeding Paper |
| Language: | English English |
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IOP Publishing Ltd.
2018
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| Subjects: | |
| Online Access: | 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 |
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| 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 |
| building | IIUM Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-14T16:57:54Z |
| format | Proceeding Paper |
| id | iium-61805 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:57:54Z |
| publishDate | 2018 |
| publisher | IOP Publishing Ltd. |
| recordtype | eprints |
| repository_type | Digital Repository |
| 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 Proceeding Paper 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 |
| 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 |
| title | 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_short | The multistage homotopy perturbation method for solving hyperchaotic Chen system |
| title_sort | multistage homotopy perturbation method for solving hyperchaotic chen system |
| topic | QA Mathematics QA297 Numerical Analysis |
| 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 |