Critical analysis for nonlinear oscillations by least square HPM.
Critical analysis for nonlinear oscillations by least square HPM.
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DOI：
10.1038/s41598-024-51706-3
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发表时间：
2024-01-17
影响因子：
4.6
通讯作者：
中科院分区：
文献类型：
--
作者：
本文采用一种新的自适应同伦摄动法（HPM）来处理单自由度系统的非线性自由振动现象。这种适应涉及HPM与最小二乘优化器的集成，从而产生称为最小二乘同伦扰动法（LSHPM）的混合方法。在现有文献中记录的各种非线性问题的LSHPM进行了测试。为了评估所提出的方法的有效性，所识别的问题也解决了使用HPM和MATLAB内置的功能bvp5c，然后使用LSHPM得到的结果进行了比较。此外，与文献中的AG方法的结果进行了比较分析。结果表明，LSHPM是一种可靠、有效的方法，适用于求解科学和工程领域中较为复杂的初值问题。
In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.
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影响因子：
1.9
作者：
Khan, Imran;Ullah, Hakeem;Ikhlaq, Farkhanda
通讯作者：
Ikhlaq, Farkhanda
影响因子：
4.6
作者：
Aydiner, E.
通讯作者：
Aydiner, E.
DOI：
10.1016/j.icheatmasstransfer.2021.105436
发表时间：
2021-06-25
影响因子：
7
作者：
Khan, Rafaqat Ali;Ullah, Hakeem;Shoaib, Muhammad
通讯作者：
Shoaib, Muhammad
影响因子：
1.6
作者：
Khan, Arshad;Shah, Zahir;Khan, Aurangzeb
通讯作者：
Khan, Aurangzeb
影响因子：
6.8
作者：
Beg, O. Anwar;Zohra, F. T.;Sathasivam, Saratha
通讯作者：
Sathasivam, Saratha