Solving Duffing-Van der Pol Oscillator Equations of Fractional Order by an Accurate Technique
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Tarih
2021
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Shahid Chamran Univ Ahvaz, Iran
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, an accurate technique is used to find an approximate solution to the fractional-order Duffing-Van der Pol (DVP, for short) oscillators equation which is reproducing kernel Hilbert space (RKHS, for short) method. The numerical results show that the n-term approximation is a rapidly convergent series representation and they present also the high accuracy and effectiveness of this method. The efficiency of the proposed method has been proved by the theoretical predictions and confirmed by the numerical experiments.
Açıklama
Anahtar Kelimeler
Duffing-Van der Pol oscillator equations of fractional order, Method of reproducing kernel Hilbert space, Caputo derivative, Convergence, Numerical Solutions
Kaynak
Journal of Applied and Computational Mechanics
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
7
Sayı
3
