Numerical solution of regularized long wave equation using Petrov-Galerkin method

DOĞAN A.

COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING, cilt.17, sa.7, ss.485-494, 2001 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 7
  • Basım Tarihi: 2001
  • Doi Numarası: 10.1002/cnm.424
  • Dergi Adı: COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.485-494
  • Anahtar Kelimeler: RLW equation, finite elements, Petrov-Galerkin, undular bore
  • Abdullah Gül Üniversitesi Adresli: Evet

Özet

The regularized long wave (RLW) equation is solved by a Petrov-Galerkin method using quadratic B-spline finite elements. A linear recurrence relationship for the numerical solution of the resulting system of ordinary differential equations is obtained via a Crank-Nicolson approach involving a product approximation. The motion of solitary waves is studied to assess the properties of the algorithm. The development of an undular bore is modelled. Copyright (C) 2001 John Wiley & Sons, Ltd.