Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators
The variational iteration method is a famous mathematical tool to nonlinear oscillator, this paper shows that the method can be further improved by using matrix Lagrange multipliers. Four examples are given to show the effectiveness of the modified variational iteration method.
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SAGE Publishing
2019-12-01
|
| Series: | Journal of Low Frequency Noise, Vibration and Active Control |
| Online Access: | https://doi.org/10.1177/1461348418817868 |
| id |
doaj-77ed0c1f5b614802bf8194569f2b5f09 |
|---|---|
| record_format |
Article |
| spelling |
doaj-77ed0c1f5b614802bf8194569f2b5f092020-11-25T03:38:39ZengSAGE PublishingJournal of Low Frequency Noise, Vibration and Active Control1461-34842048-40462019-12-013810.1177/1461348418817868Variational iteration method with matrix Lagrange multiplier for nonlinear oscillatorsZhao-Ling TaoGuo-Hua ChenYi-Han ChenThe variational iteration method is a famous mathematical tool to nonlinear oscillator, this paper shows that the method can be further improved by using matrix Lagrange multipliers. Four examples are given to show the effectiveness of the modified variational iteration method.https://doi.org/10.1177/1461348418817868 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zhao-Ling Tao Guo-Hua Chen Yi-Han Chen |
| spellingShingle |
Zhao-Ling Tao Guo-Hua Chen Yi-Han Chen Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators Journal of Low Frequency Noise, Vibration and Active Control |
| author_facet |
Zhao-Ling Tao Guo-Hua Chen Yi-Han Chen |
| author_sort |
Zhao-Ling Tao |
| title |
Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators |
| title_short |
Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators |
| title_full |
Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators |
| title_fullStr |
Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators |
| title_full_unstemmed |
Variational iteration method with matrix Lagrange multiplier for nonlinear oscillators |
| title_sort |
variational iteration method with matrix lagrange multiplier for nonlinear oscillators |
| publisher |
SAGE Publishing |
| series |
Journal of Low Frequency Noise, Vibration and Active Control |
| issn |
1461-3484 2048-4046 |
| publishDate |
2019-12-01 |
| description |
The variational iteration method is a famous mathematical tool to nonlinear oscillator, this paper shows that the method can be further improved by using matrix Lagrange multipliers. Four examples are given to show the effectiveness of the modified variational iteration method. |
| url |
https://doi.org/10.1177/1461348418817868 |
| work_keys_str_mv |
AT zhaolingtao variationaliterationmethodwithmatrixlagrangemultiplierfornonlinearoscillators AT guohuachen variationaliterationmethodwithmatrixlagrangemultiplierfornonlinearoscillators AT yihanchen variationaliterationmethodwithmatrixlagrangemultiplierfornonlinearoscillators |
| _version_ |
1724541277147496448 |