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

Murat Sari, Huseyin Kocak () and Huseyin Tunc ()
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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

International Journal of Modern Physics C (IJMPC), 2022, vol. 33, issue 08, 1-11

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.

Keywords: Reaction–dispersion equations; anti-kink waves; space-time spectral method; Chebyshev collocation method (search for similar items in EconPapers)
Date: 2022
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DOI: 10.1142/S0129183122501042

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