An Accurate Method for Solving the Undamped Duffing Equation with Cubic Nonlinearity

Muhammed I. Syam, Muhammad Asif Raja, Mahmmoud M. Syam, H. M. Jaradat

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)


In this paper, we study the strongly nonlinear undamped duffing equation for undamped oscillators. We present the physical and the mathematical model of nonlinear Duffing equation for undamped oscillators. The reproducing kernal Hilbert space method (RKHSM) is employed to compute an approximation to the solution of this problem. The validity of the RKHSM is ascertained by comparing our results with numerical results and other methods in the literature. The results reveal that the proposed analytical method can achieve excellent results in predicting the solutions of such problems. The existences of the solution is proved. In addition, the uniformly convergent of the proposed method is investigated.

Original languageEnglish
Article number69
JournalInternational Journal of Applied and Computational Mathematics
Issue number2
Publication statusPublished - Apr 1 2018


  • Duffing equation
  • Nonlinear boundary value problem
  • Reproducing kernal Hilbert space method

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics


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