Quartic B-spline Galerkin approach to the numerical solution of the KdVB equation

Saka B., DaG İ.

APPLIED MATHEMATICS AND COMPUTATION, cilt.215, sa.2, ss.746-758, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 215 Sayı: 2
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1016/j.amc.2009.05.059
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.746-758
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

The nonlinear Korteweg-de Vries-Burgers' equation is solved numerically by method of Galerkin using quartic B-splines as both shape and weight functions over the finite intervals. Five test problems are studied to demonstrate the accuracy and efficiency of the proposed method. A comparison of numerical results of both algorithm and some published articles is done in computational section. The numerical results are found in good agreement with exact solutions. (C) 2009 Elsevier Inc. All rights reserved.