A Backward Difference Formulation for Solving Doffing-Van Der Pol Type Oscillators

  • Authors

    • Ahmad FadlyNurullahRasedee
    • Mohammad Hasan Abdul Sathar
    • Hazizah Mohd Ijam
    • Khairil Iskandar Othman
    • Norizarina Ishak
    • Siti Raihana Hamzah
    • Nur Amalina Jamaludin
    https://doi.org/10.14419/ijet.v7i4.19.22009

    Received date: November 28, 2018

    Accepted date: November 28, 2018

    Published date: November 27, 2018

  • Backward difference, ODEs, Duffing-Van Der Pol oscillators.

  • Abstract

    The study of chaotic motions in periodic self-excited oscillators are an area of interest in science and engineering. The current research proposes a numerical solution in backward difference form for solving these chaotic motions in periodic- self excited oscillators. The research conducted in this study focuses on chaotic motions in the form of Duffing-Van Der Pol Oscillators because of its various applications. A backward difference formulation in predictor-corrector (PeCe) mode is introduced for solving these Duffing-Van Der Pol directly. Numerical simulations provided will show the accuracy of the PeCe backward difference formulation compared against known viable methods. Results will also show that the PeCe backward formulation is a feasible alternative for solving Duffing-Van Der Pol oscillators.

  • References

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  • How to Cite

    FadlyNurullahRasedee, A., Hasan Abdul Sathar, M., Mohd Ijam, H., Iskandar Othman, K., Ishak, N., Raihana Hamzah, S., & Amalina Jamaludin, N. (2018). A Backward Difference Formulation for Solving Doffing-Van Der Pol Type Oscillators. International Journal of Engineering and Technology, 7(4.19), 36-39. https://doi.org/10.14419/ijet.v7i4.19.22009