The Exponential Cubic B-Spline Collocation Method for the Kuramoto-Sivashinsky Equation

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ERSOY HEPSON Ö., DAĞ İ.

FILOMAT, cilt.30, sa.3, ss.853-861, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 30 Sayı: 3
  • Basım Tarihi: 2016
  • Doi Numarası: 10.2298/fil1603853e
  • Dergi Adı: FILOMAT
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.853-861
  • Anahtar Kelimeler: Exponential cubic B-spline, finite element method, collocation method, the Kuramoto-Sivashinsky equation, NUMERICAL-SOLUTION, FAMILY
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this study the Kuramoto-Sivashinsky (KS) equation has been solved using the collocation method, based on the exponential cubic B-spline approximation together with the Crank Nicolson. KS equation is fully integrated into a linearized algebraic equations. The results of the proposed method are compared with both numerical and analytical results by studying two text problems. It is found that the simulating results are in good agreement with both exact and existing numerical solutions.