Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola
In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of ini...
| Main Authors: | , , , |
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| Format: | Proceeding Paper |
| Language: | English English |
| Published: |
American Institute of Physics
2017
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| Subjects: | |
| Online Access: | http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf |
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| author | Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris |
| author_facet | Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris |
| author_sort | Chowdhury, Md. Sazzad Hossien |
| building | IIUM Repository |
| collection | Online Access |
| description | In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation
of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM).
The results are valid for small as well as large oscillation of initial amplitude. It is highly remarkable that using the
introduced technique a third-order approximate solution gives an excellent agreement with the exact ones. The introduced
technique is applied to the motion of a particle on a rotating parabola having high nonlinearity to illustrate its novelty,
reliability and wider applicability. |
| first_indexed | 2025-11-14T16:57:52Z |
| format | Proceeding Paper |
| id | iium-61797 |
| institution | International Islamic University Malaysia |
| institution_category | Local University |
| language | English English |
| last_indexed | 2025-11-14T16:57:52Z |
| publishDate | 2017 |
| publisher | American Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | iium-617972018-02-03T09:43:00Z http://irep.iium.edu.my/61797/ Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris QA297 Numerical Analysis In the present paper, a novel analytical technique to obtain higher-order approximate solutions for the equation of motion of a particle on a rotating parabola has been introduced, which is based on an energy balance method (EBM). The results are valid for small as well as large oscillation of initial amplitude. It is highly remarkable that using the introduced technique a third-order approximate solution gives an excellent agreement with the exact ones. The introduced technique is applied to the motion of a particle on a rotating parabola having high nonlinearity to illustrate its novelty, reliability and wider applicability. American Institute of Physics 2017 Proceeding Paper PeerReviewed application/pdf en http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf application/pdf en http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf Chowdhury, Md. Sazzad Hossien and Hosen, Md Alal and Ali, Mohammad Yeakub and Ismail, Ahmad Faris (2017) Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola. In: 4th International Conference on Mathematical Sciences, 15-17 Nov 2016, Putrajaya, Malaysia. http://dx.doi.org/10.1063/1.4980866 doi: 10.1063/1.4980866 |
| spellingShingle | QA297 Numerical Analysis Chowdhury, Md. Sazzad Hossien Hosen, Md Alal Ali, Mohammad Yeakub Ismail, Ahmad Faris Higher-order analytical solutions for the equation of motion of a particle on a rotating parabola |
| title | Higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| title_full | Higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| title_fullStr | Higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| title_full_unstemmed | Higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| title_short | Higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| title_sort | higher-order analytical solutions for the equation of motion of a particle on a rotating
parabola |
| topic | QA297 Numerical Analysis |
| url | http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/ http://irep.iium.edu.my/61797/1/AIP%20Conference%20Proceedings%20UKM2017-Rotating%20Parabola_EBM.pdf http://irep.iium.edu.my/61797/7/61797_higher-order%20analytical%20solutions_scopus.pdf |