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A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves

Author

Listed:
  • Murat Sari

    (Department of Mathematics, Faculty of Arts and Science, Yildiz Technical University, Istanbul 34220, Turkey)

  • Huseyin Kocak

    (Quantitative Methods Division, Pamukkale University, Denizli 20160, Turkey)

  • Huseyin Tunc

    (Department of Biophysics, School of Medicine, Bahcesehir University, Istanbul 34220, Turkey)

Abstract

The aim of this work is to provide an efficient technique for numerical solutions of the reaction–dispersion equations including convection and diffusion. The Chebyshev spectral collocation method (ChSCM) is used in both space and time to exhibit anti-kink-type waves that appear as the result of the proposed model equations. It is shown that the revealed solutions are promising to efficiently catch such challenging physical behavior. Quantitative convergence results in both time and space are illustrated for the reaction–dispersion problems.

Suggested Citation

  • Murat Sari & Huseyin Kocak & Huseyin Tunc, 2022. "A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 33(08), pages 1-11, August.
    • Handle: RePEc:wsi:ijmpcx:v:33:y:2022:i:08:n:s0129183122501042
    DOI: 10.1142/S0129183122501042
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