Numerical Solutions of the Modified Burgers Equation by a Cubic B-spline Collocation Method

KUTLUAY S., UÇAR Y., YAĞMURLU N. M.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.39, sa.4, ss.1603-1614, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 39 Sayı: 4
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1007/s40840-015-0262-6
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1603-1614
  • Anahtar Kelimeler: Modified Burgers equation, Finite element method, Collocation, B-Spline
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a numerical solution of the modified Burgers equation is obtained by a cubic B-spline collocation method. In the solution process, a linearization technique based on quasi-linearization has been applied to deal with the non-linear term appearing in the equation. The computed results are compared with others selected from the available literature. The error norms and are computed and found to be sufficiently small. A Fourier stability analysis of the method is also investigated.