Open AccessVariational iteration method with matrix Lagrange multiplier for nonlinear oscillators
Author(s) -
Tao Zhao-Ling,
Chen Guo-Hua,
Chen Yi-Han
Publication year - 2019
Publication title -
journal of low frequency noise, vibration and active control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.419
H-Index - 25
eISSN - 2048-4046
pISSN - 1461-3484
DOI - 10.1177/1461348418817868
Subject(s) - lagrange multiplier , mathematics , nonlinear system , constraint algorithm , multiplier (economics) , power iteration , iterative method , matrix (chemical analysis) , variational method , mathematical analysis , mathematical optimization , physics , quantum mechanics , economics , macroeconomics , materials science , composite material
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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom