High order He's energy balance method based on collocation method

S. Durmaz; S. Altay Demirbaʇ; M. O. Kaya

doi:10.1515/ijnsns.2010.11.s1.1

High order He's energy balance method based on collocation method

S. Durmaz, S. Altay Demirbaʇ, M. O. Kaya^*

^*Bu çalışma için yazışmadan sorumlu yazar

Istanbul Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

20 Atıf (Scopus)

Özet

In this paper, He's energy balance method based on collocation method is extended in order to obtain high accuracy for nonlinear oscillators. To illustrate the effectiveness of the method Duffing oscillator was chosen. The maximum relative errors of Duffing oscillator read 2.22% and 0.77% for the first and second order approximation, respectively. The third order approximation has the accuracy as high as 0.01% for all values of oscillation amplitude.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1-5
Sayfa sayısı	5
Dergi	International Journal of Nonlinear Sciences and Numerical Simulation
Hacim	11
DOI'lar	https://doi.org/10.1515/ijnsns.2010.11.s1.1
Yayın durumu	Yayınlandı - 1 Ara 2010

Bibliyografik not

Publisher Copyright:
© Freund Publishing House Ltd.

Belgeye Erişim

10.1515/ijnsns.2010.11.s1.1

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

@article{32fd5d9b251441c69a7e844505f9e57b,

title = "High order He's energy balance method based on collocation method",

abstract = "In this paper, He's energy balance method based on collocation method is extended in order to obtain high accuracy for nonlinear oscillators. To illustrate the effectiveness of the method Duffing oscillator was chosen. The maximum relative errors of Duffing oscillator read 2.22% and 0.77% for the first and second order approximation, respectively. The third order approximation has the accuracy as high as 0.01% for all values of oscillation amplitude.",

keywords = "Collocation method, Duffing oscillator, Hamiltonian, He's energy balance method, High order energy balance method",

author = "S. Durmaz and Demirbaʇ, {S. Altay} and Kaya, {M. O.}",

note = "Publisher Copyright: {\textcopyright} Freund Publishing House Ltd.",

year = "2010",

month = dec,

day = "1",

doi = "10.1515/ijnsns.2010.11.s1.1",

language = "English",

volume = "11",

pages = "1--5",

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

issn = "1565-1339",

publisher = "Walter de Gruyter GmbH",

}

TY - JOUR

T1 - High order He's energy balance method based on collocation method

AU - Durmaz, S.

AU - Demirbaʇ, S. Altay

AU - Kaya, M. O.

N1 - Publisher Copyright: © Freund Publishing House Ltd.

PY - 2010/12/1

Y1 - 2010/12/1

N2 - In this paper, He's energy balance method based on collocation method is extended in order to obtain high accuracy for nonlinear oscillators. To illustrate the effectiveness of the method Duffing oscillator was chosen. The maximum relative errors of Duffing oscillator read 2.22% and 0.77% for the first and second order approximation, respectively. The third order approximation has the accuracy as high as 0.01% for all values of oscillation amplitude.

AB - In this paper, He's energy balance method based on collocation method is extended in order to obtain high accuracy for nonlinear oscillators. To illustrate the effectiveness of the method Duffing oscillator was chosen. The maximum relative errors of Duffing oscillator read 2.22% and 0.77% for the first and second order approximation, respectively. The third order approximation has the accuracy as high as 0.01% for all values of oscillation amplitude.

KW - Collocation method

KW - Duffing oscillator

KW - Hamiltonian

KW - He's energy balance method

KW - High order energy balance method

UR - http://www.scopus.com/inward/record.url?scp=84873296325&partnerID=8YFLogxK

U2 - 10.1515/ijnsns.2010.11.s1.1

DO - 10.1515/ijnsns.2010.11.s1.1

M3 - Article

AN - SCOPUS:84873296325

SN - 1565-1339

VL - 11

SP - 1

EP - 5

JO - International Journal of Nonlinear Sciences and Numerical Simulation

JF - International Journal of Nonlinear Sciences and Numerical Simulation

ER -

High order He's energy balance method based on collocation method

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap