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  1. Home
  2. Browse by Author

Browsing by Author "Kamaruddin N.S."

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    Publication
    Variable order variable stepsize algorithm for solving nonlinear Duffing oscillator
    (Institute of Physics Publishing, 2017)
    Nurullah Rasedee A.F.
    ;
    Ishak N.
    ;
    Hamzah S.R.
    ;
    Ijam H.M.
    ;
    Suleiman M.
    ;
    Ibrahim Z.B.
    ;
    Abdul Sathar M.H.
    ;
    Ramli N.A.
    ;
    Kamaruddin N.S.
    ;
    Faculty of Science and Technology
    ;
    Faculty of Economics and Muamalat
    ;
    Universiti Sains Islam Malaysia (USIM)
    ;
    Universiti Putra Malaysia (UPM)
    Nonlinear phenomena in science and engineering such as a periodically forced oscillator with nonlinear elasticity are often modeled by the Duffing oscillator (Duffing equation). The Duffling oscillator is a type of nonlinear higher order differential equation. In this research, a numerical approximation for solving the Duffing oscillator directly is introduced using a variable order stepsize (VOS) algorithm coupled with a backward difference formulation. By selecting the appropriate restrictions, the VOS algorithm provides a cost efficient computational code without affecting its accuracy. Numerical results have demonstrated the advantages of a variable order stepsize algorithm over conventional methods in terms of total steps and accuracy. � Published under licence by IOP Publishing Ltd.
      2  20
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