A lumped Galerkin method for the numerical solution of the modified equal-width wave equation using quadratic B-splines

Esen A.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.83, ss.449-459, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/00207160600909918
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.449-459
  • Anahtar Kelimeler: MEW equation, lumped Galerkin method, splines, solitary waves, SOLITARY WAVES
  • İnönü Üniversitesi Adresli: Evet

Özet

The numerical solution of the one-dimensional modified equal width wave (MEW) equation is obtained by using a lumped Galerkin method based on quadratic B-spline finite elements. The motion of a single solitary wave and the interaction of two solitary waves are studied. The numerical results obtained show that the present method is a remarkably successful numerical technique for solving the MEW equation. A linear stability analysis of the scheme is also investigated.