Polynomial based differential quadrature for numerical solutions of kuramoto-sivashinsky equation

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Yigit G., BAYRAM M.

Thermal Science, vol.23, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 23
  • Publication Date: 2019
  • Doi Number: 10.2298/tsci180917337y
  • Journal Name: Thermal Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Chebyshev polynomials, Differential quadrature, Kuramoto-Sivashinski equation
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2019 Society of Thermal Engineers of Serbia.In this study, a numerical discrete derivative technique for solutions of Kuramoto- Sivashinksy equation is considered. According to the procedure, differential quadrature algorithm is adapted in space by using Chebyshev polynomials and explicit scheme is constructed to discretize time derivative. Sample problems are presented to support the idea. Numerical solutions are compared with exact solutions and also previous works. It is observed that the numerical solutions are well matched with the exact or existing solutions.