Application of a lumped Galerkin method to the regularized long wave equation

Esen A., Kutluay S.

APPLIED MATHEMATICS AND COMPUTATION, cilt.174, sa.2, ss.833-845, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 174 Sayı: 2
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1016/j.amc.2005.05.032
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.833-845
  • Anahtar Kelimeler: RLW equation, lumped Galerkin method, splines, solitary waves, undular bore, NONLINEAR DISPERSIVE WAVES, FINITE-ELEMENT-METHOD, RLW EQUATION, NUMERICAL-SOLUTION, SOLITARY WAVES, B-SPLINE, MODEL EQUATIONS
  • İnönü Üniversitesi Adresli: Evet

Özet

In this paper, a lumped Galerkin method based on quadratic B-spline finite elements is used to find numerical solutions of the one-dimensional regularized long wave (RLW) equation with a variant of initial and boundary conditions. The obtained numerical results show that the present method is a remarkably Successful numerical technique for solving the equation. Results are compared with published numerical solutions. A linear stability analysis of the scheme is also investigated. (c) 2005 Elsevier Inc. All rights reserved.