期刊
APPLIED MATHEMATICS LETTERS
卷 92, 期 -, 页码 134-138出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.01.016
关键词
Variational iteration method; Laplace transform; Variational principle; Nonlinear oscillator
资金
- National Natural Science Foundation of China [51463021]
- Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD), China
The identification of the Lagrange multiplier plays an import rule in the variational iteration method, and the variational theory is widely used for this purpose. This paper suggests an easier approach by the Laplace transform to determining the multiplier, making the method accessible to researchers facing various nonlinear problems. A nonlinear oscillator is adopted as an example to elucidate the identification process and the solution process, only one iteration leads to an ideal result. (C) 2019 Elsevier Ltd. All rights reserved.
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