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


SARI M. , Kocak H., Tunc H.

International Journal of Modern Physics C, 2022 (Journal Indexed in SCI Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2022
  • Doi Number: 10.1142/s0129183122501042
  • Journal Name: International Journal of Modern Physics C
  • Journal Indexes: Science Citation Index Expanded, Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH
  • Keywords: Anti-kink waves, Chebyshev collocation method, Reaction-dispersion equations, Space-time spectral method

Abstract

© 2022 World Scientific Publishing Company.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.