An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM
The purpose of this research is to use the Akbari Ganji Method, abbreviated as AGM, and the Homotopy Perturbation Method, abbreviated as HPM, to analytically investigate some oscillating systems with nonlinear behavior in a variety of situations and compare the results to the numerical approach to a...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Elsevier
2022-11-01
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| Series: | Alexandria Engineering Journal |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1110016822001247 |
| _version_ | 1798029116993175552 |
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| author | Hamid Samadi Nikta Shams Mohammadi Mohammad Shamoushaki Zohreh Asadi Davood Domiri Ganji |
| author_facet | Hamid Samadi Nikta Shams Mohammadi Mohammad Shamoushaki Zohreh Asadi Davood Domiri Ganji |
| author_sort | Hamid Samadi |
| collection | DOAJ |
| description | The purpose of this research is to use the Akbari Ganji Method, abbreviated as AGM, and the Homotopy Perturbation Method, abbreviated as HPM, to analytically investigate some oscillating systems with nonlinear behavior in a variety of situations and compare the results to the numerical approach to assess the validity and accuracy of these methods. Both of these cases were also stated in a circumstance in which one of the variables such as stiffness and length for instance, could also be changed to a finite number to demonstrate how these methods may be applied in various assumptions. The findings in all situations show the precision of both the AGM and HPM, with all computations showing an amazing similarity to the numerical method. |
| first_indexed | 2024-04-11T19:19:08Z |
| format | Article |
| id | doaj.art-8727977012d6430f9385930fcac64cab |
| institution | Directory Open Access Journal |
| issn | 1110-0168 |
| language | English |
| last_indexed | 2024-04-11T19:19:08Z |
| publishDate | 2022-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Alexandria Engineering Journal |
| spelling | doaj.art-8727977012d6430f9385930fcac64cab2022-12-22T04:07:21ZengElsevierAlexandria Engineering Journal1110-01682022-11-01611189878996An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPMHamid Samadi0Nikta Shams Mohammadi1Mohammad Shamoushaki2Zohreh Asadi3Davood Domiri Ganji4Department of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, IranDepartment of Electrical Engineering, Shahrood University of Technology, Shahrood, IranDepartment of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, IranDepartment of Mechanical Engineering, Sari Branch, Islamic Azad University, Sari, IranDepartment of Mechanical Engineering, Babol Noushirvani University of Technology, Babol, Iran; Corresponding author.The purpose of this research is to use the Akbari Ganji Method, abbreviated as AGM, and the Homotopy Perturbation Method, abbreviated as HPM, to analytically investigate some oscillating systems with nonlinear behavior in a variety of situations and compare the results to the numerical approach to assess the validity and accuracy of these methods. Both of these cases were also stated in a circumstance in which one of the variables such as stiffness and length for instance, could also be changed to a finite number to demonstrate how these methods may be applied in various assumptions. The findings in all situations show the precision of both the AGM and HPM, with all computations showing an amazing similarity to the numerical method.http://www.sciencedirect.com/science/article/pii/S1110016822001247AGMHPMNonlinear EquationsNonlinear Oscillator |
| spellingShingle | Hamid Samadi Nikta Shams Mohammadi Mohammad Shamoushaki Zohreh Asadi Davood Domiri Ganji An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM Alexandria Engineering Journal AGM HPM Nonlinear Equations Nonlinear Oscillator |
| title | An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM |
| title_full | An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM |
| title_fullStr | An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM |
| title_full_unstemmed | An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM |
| title_short | An analytical investigation and comparison of oscillating systems with nonlinear behavior using AGM and HPM |
| title_sort | analytical investigation and comparison of oscillating systems with nonlinear behavior using agm and hpm |
| topic | AGM HPM Nonlinear Equations Nonlinear Oscillator |
| url | http://www.sciencedirect.com/science/article/pii/S1110016822001247 |
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