Numerical solutions of the Fractional Kdv-Burgers-Kuramoto equation

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KAYA D., Gulbahar S., Yokus A.

Thermal Science, cilt.22, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 22
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/tsci170613281k
  • Dergi Adı: Thermal Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: time fractional KdV-Burgers-Kuramoto equation, finite difference method, stability
  • İstanbul Ticaret Üniversitesi Adresli: Evet

Özet

Non-linear terms of the time-fractional KdV-Burgers-Kuramoto equation are linearized using by some linearization techniques. Numerical solutions of this equation are obtained with the help of the finite difference methods. Numerical solutions and corresponding analytical solutions are compared. The 2 L and L8 error norms are computed. Stability of given method is investigated by using the Von Neumann stability analysis.