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Iterative reproducing kernel method for nonlinear oscillator with discontinuity

  • Boying Wu*
  • , Xiuying Li
  • *Corresponding author for this work
  • Harbin Institute of Technology

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, iterative reproducing kernel method is applied to obtain the analytical approximate solution of a nonlinear oscillator with discontinuities. The solution obtained by using the method takes the form of a convergent series with easily computable components. An illustrative example is given to demonstrate the effectiveness of the present method. The results obtained using the scheme presented here show that the numerical scheme is very effective and convenient for the nonlinear oscillator with discontinuities.

Original languageEnglish
Pages (from-to)1301-1304
Number of pages4
JournalApplied Mathematics Letters
Volume23
Issue number10
DOIs
StatePublished - Oct 2010

Keywords

  • Analytical approximation
  • Discontinuities
  • Iterative reproducing kernel method
  • Nonlinear oscillator

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