The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators
Joint Authors
Hieu, D. V.
Hai, N. Q.
Hung, D. T.
Source
Journal of Applied Mathematics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-18
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
The Equivalent Linearization Method (ELM) with a weighted averaging is applied to analyze five undamped oscillator systems with nonlinearities.
The results obtained via this method are compared with the ones achieved by Parameterized Perturbation Method (PPM), Min–Max Approach (MMA), Variational Iteration Method (VIM), Homotopy Perturbation Method (HPM), Energy Balance Method (EBM), Harmonic Balance Method (HBM), 4th-Order Runge-Kutta Method, and the exact ones.
The obtained results demonstrate that this method is very convenient for solving nonlinear equations and also can be successfully applied to a lot of practical engineering and physical problems.
American Psychological Association (APA)
Hieu, D. V.& Hai, N. Q.& Hung, D. T.. 2018. The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators. Journal of Applied Mathematics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1176053
Modern Language Association (MLA)
Hieu, D. V.…[et al.]. The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators. Journal of Applied Mathematics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1176053
American Medical Association (AMA)
Hieu, D. V.& Hai, N. Q.& Hung, D. T.. The Equivalent Linearization Method with a Weighted Averaging for Solving Undamped Nonlinear Oscillators. Journal of Applied Mathematics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1176053
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176053