Mixed finite difference and Galerkin methods for solving Burgers equations using interpolating scaling functions

Dehghan M., Saray B. N., Lakestanı M.

Mathematical Methods in the Applied Sciences, cilt.37, sa.6, ss.894-912, 2014 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 6
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1002/mma.2847
  • Dergi Adı: Mathematical Methods in the Applied Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.894-912
  • Anahtar Kelimeler: Burgers equation, interpolating scaling functions, KdV-Burgers and coupled Burgers equations, mixed finite difference method, operational matrix of derivative
  • Van Yüzüncü Yıl Üniversitesi Adresli: Evet

Özet

The current paper proposes a technique for the numerical solution of Burgers equations. The method is based on finite difference formula combined with the Galerkin method, which uses the interpolating scaling functions. Several test problems are given, and the numerical results are reported to show the accuracy and efficiency of the new algorithm. Copyright © 2013 John Wiley & Sons, Ltd.