Application of parameter-expansion method to nonlinear oscillators with discontinuities

F. Özen Zengin, M. O. Kaya*, S. Altay Demirbaǧ

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

49 Citations (Scopus)

Abstract

In this paper He's modified Lindstedt-Poincare method and bookkeeping parameter method known as Parameter Expanding Methods are applied to nonlinear oscillators with discontinuities. We obtained sufficiently accurate solutions with first-order approximations which are valid for whole domain. Comparison of the obtained solutions with the exact ones show the proposed methods are very effective and convenient.

Original languageEnglish
Pages (from-to)267-270
Number of pages4
JournalInternational Journal of Nonlinear Sciences and Numerical Simulation
Volume9
Issue number3
Publication statusPublished - 2008

Keywords

  • Bookkeeping parameter method
  • Modified Lindstedt-Poincare method
  • Nonlinear oscillator

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