A new modification of the variational iteration method for van der Pol equations

Autor:	Yuan-Ju Huang, Hsuan-Ku Liu
Rok vydání:	2013
Předmět:	Van der Pol oscillator Variational iteration method Applied Mathematics Modeling and Simulation Mathematical analysis Initial value problem Approximate solution Mathematics
Zdroj:	Applied Mathematical Modelling. 37:8118-8130
ISSN:	0307-904X
DOI:	10.1016/j.apm.2013.03.033
Popis:	In this paper, we provide a new modification of the variational iteration method (MVIM) for solving van der Pol equations. The modification couples the classical variational iteration method with He’s polynomials, where the He’s polynomials are applied to the approximate solution and the initial condition to eliminate secular terms. For the large ɛ, the numerical results demonstrate that the modification method get an accurate approximate period than the other presented methods.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1a6d1a4406b5f2e56116e7ad3183041c https://doi.org/10.1016/j.apm.2013.03.033 Zobrazit plný text záznamu Full Text from ScienceDirect