Numerical solution of cubic free undamped Duffing oscillator equation using continuous implicit hybrid method

M. Motawi Khashan, Muhammed I. Syam, A. K. Alomari

Research output: Contribution to journalArticlepeer-review

Abstract

In this paper, we investigate the solution of the cubic free undamped Duffing oscillator equation based on the implicit hybrid method. We investigate the consistency, zero stable, convergence, order, error constant, and region of absolute stability of the proposed method. In addition, we study the zero stability, the order, and the error constant of the block method which is generated from the proposed method. Numerical results are presented to show the efficiency of the proposed method.

Original languageEnglish
Pages (from-to)588-597
Number of pages10
JournalItalian Journal of Pure and Applied Mathematics
Issue number42
Publication statusPublished - 2019

Keywords

  • Consistency
  • Convergence
  • Cubic free undamped Duffing oscillator equation
  • Implicit hybrid method
  • Zero stable

ASJC Scopus subject areas

  • Mathematics(all)

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