A B-SPLINE FINITE-ELEMENT METHOD FOR THE REGULARIZED LONG-WAVE EQUATION

GARDNER L., GARDNER G., DAG I.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.11, sa.1, ss.59-68, 1995 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 11 Sayı: 1
  • Basım Tarihi: 1995
  • Doi Numarası: 10.1002/cnm.1640110109
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.59-68
  • Anahtar Kelimeler: RLW EQUATION, FINITE ELEMENTS, SPLINES
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

A B-spline finite element method is used to solve the regularized long wave equation numerically. This approach involves a Galerkin method with quadratic B-spline finite elements so that there is continuity of the dependent variable and its first derivative throughout the solution range. Time integration of the resulting system of ordinary differential equations is effected using a Crank-Nicolson approximation. Standard problems are used to validate the algorithm, which is then used to model the smooth development of an undular bore.