Proceedings of the 5th International Conference on Advanced Design and Manufacturing Engineering

A simple time domain collocation method for solving the van der Pol oscillator

Authors
Fei Han, Ming Li, Shijie Zhang
Corresponding Author
Fei Han
Available Online October 2015.
DOI
https://doi.org/10.2991/icadme-15.2015.3How to use a DOI?
Keywords
Time domain collocation method; high dimensional harmonic balance method; period solution; van der Pol equation; limit cycle.
Abstract
In this paper, the time domain collocation method (TDC) is applied to solve the van der Pol equation. The results obtained by the TDC are compared with the results by the traditional harmonic balance method (HB) and high dimensional harmonic balance method (HDHB). For the extended TDC method, appropriately increasing the number of collocation points can significantly relive the nonphysical solution phenomenon and generate a better solution. Compared with the HDHB, the TDC method is derived more strictly, and more convenient to implement. Numerical results verify the simplicity, accuracy and efficiency of the present TDC method.
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Proceedings
5th International Conference on Advanced Design and Manufacturing Engineering
Part of series
Advances in Engineering Research
Publication Date
October 2015
ISBN
978-94-6252-113-1
ISSN
2352-5401
DOI
https://doi.org/10.2991/icadme-15.2015.3How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Fei Han
AU  - Ming Li
AU  - Shijie Zhang
PY  - 2015/10
DA  - 2015/10
TI  - A simple time domain collocation method for solving the van der Pol oscillator
BT  - 5th International Conference on Advanced Design and Manufacturing Engineering
PB  - Atlantis Press
SN  - 2352-5401
UR  - https://doi.org/10.2991/icadme-15.2015.3
DO  - https://doi.org/10.2991/icadme-15.2015.3
ID  - Han2015/10
ER  -