A finite element method for equal width equation

Saka B.

APPLIED MATHEMATICS AND COMPUTATION, cilt.175, sa.1, ss.730-747, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 175 Sayı: 1
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.07.034
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.730-747
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A numerical solution of the equal width (EW) equation is obtained using space-splitting technique and quadratic B-spline Galerkin finite element method. Solitary wave motion, interaction of two solitary waves, wave undulation and wave generation are studied using the proposed method. Comparisons are made with analytical solutions and with some spline finite element method calculations at selected times. Accuracy and efficiency are discussed by computing the numerical conserved laws and L-2, L-infinity error norms. (c) 2005 Elsevier Inc. All rights reserved.