A numerical solution of the equal width wave equation by a lumped Galerkin method

Esen A.

APPLIED MATHEMATICS AND COMPUTATION, cilt.168, sa.1, ss.270-282, 2005 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 168 Sayı: 1
  • Basım Tarihi: 2005
  • Doi Numarası: 10.1016/j.amc.2004.08.013
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.270-282
  • Anahtar Kelimeler: EW equation, lumped Galerkin method, splines, solitary waves, undular bore, SOLITARY WAVES, EW EQUATION
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, the equal width wave (EW) equation is solved by a numerical technique based on a lumped Galerkin method using quadratic B-spline finite elements to investigate the motion of a single solitary wave, development of two solitary waves interaction and an undular bore. The obtained results are compared with published numerical solutions. A linear stability analysis of the method is also investigated. (c) 2004 Elsevier Inc. All rights reserved.