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Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators

Author

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  • Banan Maayah
  • Samia Bushnaq
  • Shaher Momani
  • Omar Abu Arqub

Abstract

A new algorithm called multistep reproducing kernel Hilbert space method is represented to solve nonlinear oscillator’s models. The proposed scheme is a modification of the reproducing kernel Hilbert space method, which will increase the intervals of convergence for the series solution. The numerical results demonstrate the validity and the applicability of the new technique. A very good agreement was found between the results obtained using the presented algorithm and the Runge-Kutta method, which shows that the multistep reproducing kernel Hilbert space method is very efficient and convenient for solving nonlinear oscillator’s models.

Suggested Citation

  • Banan Maayah & Samia Bushnaq & Shaher Momani & Omar Abu Arqub, 2014. "Iterative Multistep Reproducing Kernel Hilbert Space Method for Solving Strongly Nonlinear Oscillators," Advances in Mathematical Physics, Hindawi, vol. 2014, pages 1-7, June.
    • Handle: RePEc:hin:jnlamp:758195
    DOI: 10.1155/2014/758195
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    Cited by:

    1. Attia, Nourhane & Akgül, Ali & Seba, Djamila & Nour, Abdelkader, 2020. "An efficient numerical technique for a biological population model of fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).

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