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, cilt.33, sa.08, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 33 Sayı: 08
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1142/s0129183122501042
  • Dergi Adı: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Computer & Applied Sciences, INSPEC, zbMATH
  • Anahtar Kelimeler: Reaction-dispersion equations, anti-kink waves, space-time spectral method, Chebyshev collocation method, BURGERS-FISHER, NUMERICAL TREATMENT
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

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.