Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods

F. Özen Zengin; M. O. Kaya; S. Altay Demirbaǧ

doi:10.1016/j.nonrwa.2008.04.001

Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods

F. Özen Zengin
, M. O. Kaya^*
, S. Altay Demirbaǧ

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

6 Citations (Scopus)

Abstract

In this paper, He's modified Lindstedt-Poincare method and bookkeeping parameter method, also known as He's parameter-expanding method, is applied to various kinds of strongly nonlinear oscillators. We obtained sufficiently accurate solutions with one iteration which is valid for whole domain to the contrary of classical perturbation techniques.

Original language	English
Pages (from-to)	2177-2182
Number of pages	6
Journal	Nonlinear Analysis: Real World Applications
Volume	10
Issue number	4
DOIs	https://doi.org/10.1016/j.nonrwa.2008.04.001
Publication status	Published - Aug 2009

Keywords

Approximate solution
Bookkeeping parameter method
Nonlinear oscillator

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10.1016/j.nonrwa.2008.04.001

Cite this

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title = "Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods",

abstract = "In this paper, He's modified Lindstedt-Poincare method and bookkeeping parameter method, also known as He's parameter-expanding method, is applied to various kinds of strongly nonlinear oscillators. We obtained sufficiently accurate solutions with one iteration which is valid for whole domain to the contrary of classical perturbation techniques.",

keywords = "Approximate solution, Bookkeeping parameter method, Nonlinear oscillator",

author = "\{{\"O}zen Zengin\}, F. and Kaya, \{M. O.\} and \{Altay Demirbaǧ\}, S.",

year = "2009",

month = aug,

doi = "10.1016/j.nonrwa.2008.04.001",

language = "English",

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AU - Özen Zengin, F.

AU - Kaya, M. O.

AU - Altay Demirbaǧ, S.

PY - 2009/8

Y1 - 2009/8

N2 - In this paper, He's modified Lindstedt-Poincare method and bookkeeping parameter method, also known as He's parameter-expanding method, is applied to various kinds of strongly nonlinear oscillators. We obtained sufficiently accurate solutions with one iteration which is valid for whole domain to the contrary of classical perturbation techniques.

AB - In this paper, He's modified Lindstedt-Poincare method and bookkeeping parameter method, also known as He's parameter-expanding method, is applied to various kinds of strongly nonlinear oscillators. We obtained sufficiently accurate solutions with one iteration which is valid for whole domain to the contrary of classical perturbation techniques.

KW - Approximate solution

KW - Bookkeeping parameter method

KW - Nonlinear oscillator

UR - https://www.scopus.com/pages/publications/61749084415

U2 - 10.1016/j.nonrwa.2008.04.001

DO - 10.1016/j.nonrwa.2008.04.001

M3 - Article

AN - SCOPUS:61749084415

SN - 1468-1218

VL - 10

SP - 2177

EP - 2182

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 4

ER -

Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods

Abstract

Keywords

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