PERIODIC SOLUTIONS FOR CERTAIN NON-SMOOTH OSCILLATORS WITH HIGH NONLINEARITIES

Küçük Resim Yok

Tarih

2021

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

Künye