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

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ERSOY HEPSON Ö., DAĞ İ.

FILOMAT, vol.30, no.3, pp.853-861, 2016 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 3
  • Publication Date: 2016
  • Doi Number: 10.2298/fil1603853e
  • Journal Name: FILOMAT
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.853-861
  • Keywords: Exponential cubic B-spline, finite element method, collocation method, the Kuramoto-Sivashinsky equation, NUMERICAL-SOLUTION, FAMILY
  • Open Archive Collection: AVESIS Open Access Collection
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

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.