A New Approach to Van der Pol's Oscillator Problem
Küçük Resim Yok
Tarih
2011
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Verlag Z Naturforsch
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this paper, we will consider the Laplace decomposition method (LDM) for finding series solutions of nonlinear oscillator differential equations. The equations are Laplace transformed and the nonlinear terms are represented by He's polynomials. The solutions are compared with the numerical (fourth-order Runge-Kutta) solution and the solution obtained by the Adomian decomposition method. The suggested algorithm is more efficient and easier to handle as compared to the numerical method. The results illustrate that LDM is an appropriate method in solving the highly nonlinear equations.
Açıklama
Anahtar Kelimeler
Laplace Decomposition Method, Oscillator Differential Equation, He's Polynomials
Kaynak
Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences
WoS Q Değeri
Q3
Scopus Q Değeri
N/A
Cilt
66
Sayı
10.Nov
