Numerical solution of the coupled Burgers equation by trigonometric B-spline collocation method

Creative Commons License

UÇAR Y., YAĞMURLU N. M., Yiğit M. K.

Mathematical Methods in the Applied Sciences, cilt.46, sa.5, ss.6025-6041, 2023 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/mma.8887
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Applied Science & Technology Source, Communication Abstracts, Compendex, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.6025-6041
  • Anahtar Kelimeler: collocation method, coupled Burgers' equation, Finite element method, trigonometric B-splines
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • İnönü Üniversitesi Adresli: Evet

Özet

In the present study, the coupled Burgers equation is going to be solved numerically by presenting a new technique based on collocation finite element method in which cubic trigonometric and quintic B-splines are used as approximate functions. In order to support the present study, three test problems given with appropriate initial and boundary conditions are going to be investigated. The newly obtained results are compared with some of the other published numerical solutions available in the literature. The accuracy of the proposed method is discussed by computing the error norms (Formula presented.) and (Formula presented.). A linear stability analysis of the approximation obtained by the scheme shows that the method is unconditionally stable.