Numerical solutions of the coupled Burgers' equation by the Galerkin quadratic B-spline finite element method

KUTLUAY S., UÇAR Y.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, cilt.36, sa.17, ss.2403-2415, 2013 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 17
  • Basım Tarihi: 2013
  • Doi Numarası: 10.1002/mma.2767
  • Dergi Adı: MATHEMATICAL METHODS IN THE APPLIED SCIENCES
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.2403-2415
  • Anahtar Kelimeler: coupled Burgers' equation, FEM, Galerkin method, quadratic B-spline, PDEs, VARIATIONAL ITERATION METHOD, SOLVING BURGERS, HOMOTOPY PERTURBATION, TRANSFORMATION
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a coupled Burgers' equation has been numerically solved by a Galerkin quadratic B-spline FEM. The performance of the method has been examined on three test problems. Results obtained by the method have been compared with known exact solution and other numerical results in the literature. A Fourier stability analysis of the method is also investigated. Copyright (c) 2013 John Wiley & Sons, Ltd.