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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

6 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	2177-2182
Sayfa sayısı	6
Dergi	Nonlinear Analysis: Real World Applications
Hacim	10
Basın numarası	4
DOI'lar	https://doi.org/10.1016/j.nonrwa.2008.04.001
Yayın durumu	Yayınlandı - Ağu 2009

Belgeye Erişim

10.1016/j.nonrwa.2008.04.001

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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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",

volume = "10",

pages = "2177--2182",

journal = "Nonlinear Analysis: Real World Applications",

issn = "1468-1218",

publisher = "Elsevier B.V.",

number = "4",

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TY - JOUR

T1 - Approximate period calculation for some strongly nonlinear oscillation by He's parameter-expanding methods

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

Özet

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap