Application of parameter-expansion method to nonlinear oscillators with discontinuities

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

Application of parameter-expansion method to nonlinear oscillators with discontinuities

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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

49 Atıf (Scopus)

Özet

In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	267-270
Sayfa sayısı	4
Dergi	International Journal of Nonlinear Sciences and Numerical Simulation
Hacim	9
Basın numarası	3
Yayın durumu	Yayınlandı - 2008

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Alıntı Yap

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title = "Application of parameter-expansion method to nonlinear oscillators with discontinuities",

abstract = "In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.",

keywords = "Bookkeeping parameter method, Modified Lindstedt-Poincare method, Nonlinear oscillator",

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

year = "2008",

language = "English",

volume = "9",

pages = "267--270",

journal = "International Journal of Nonlinear Sciences and Numerical Simulation",

issn = "1565-1339",

publisher = "Walter de Gruyter GmbH",

number = "3",

}

TY - JOUR

T1 - Application of parameter-expansion method to nonlinear oscillators with discontinuities

AU - Zengin, F. Özen

AU - Kaya, M. O.

AU - Demirbaǧ, S. Altay

PY - 2008

Y1 - 2008

N2 - In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.

AB - In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.

KW - Bookkeeping parameter method

KW - Modified Lindstedt-Poincare method

KW - Nonlinear oscillator

UR - https://www.scopus.com/pages/publications/47049103543

M3 - Article

AN - SCOPUS:47049103543

SN - 1565-1339

VL - 9

SP - 267

EP - 270

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

IS - 3

ER -

Application of parameter-expansion method to nonlinear oscillators with discontinuities

Özet

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