PERIODIC SOLUTIONS FOR CERTAIN NON-SMOOTH OSCILLATORS WITH HIGH NONLINEARITIES
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Ministry Communications & High Technologies Republic Azerbaijan
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we introduce a new adjustment of the Lindstedt-Poincare method combining it homotopy in topology by introducing a linear term with an unknown (variable) frequency and amplitude to be determined further and the solutions are in form of series expansions and maybe converge asymptotically. This adjustment works very well for nonsmooth oscillators with high nonlinearities. Examples given confirm that only one or two iterations lead to high accuracy of the solutions.
Açıklama
Anahtar Kelimeler
The Lindstedt-Poincare Method, Parameter Expansions, Modified Homotopy Perturbation Method, Strongly Nonlinear Oscillators, Approximate Solutions, Homotopy Perturbation Method, Equations
Kaynak
Applied And Computational Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Cilt
20
Sayı
3