A linearized implicit finite-difference method for solving the equal width wave equation

Esen A., Kutluay S.

INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.83, sa.3, ss.319-330, 2006 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 83 Sayı: 3
  • Basım Tarihi: 2006
  • Doi Numarası: 10.1080/00207160600740958
  • Dergi Adı: INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.319-330
  • Anahtar Kelimeler: equal width wave equation, EW equation, linearized implicit finite difference, solitary waves, undular bore, SOLITARY WAVES, EW EQUATION
  • İnönü Üniversitesi Adresli: Evet

Özet

A linearized implicit finite-difference method is presented to find numerical solutions of the equal width wave equation. The method has been used successfully to investigate the motion of a single solitary wave, the development of the interaction of two solitary waves and an undular bore. The obtained results are compared with other numerical results in the literature. A stability analysis of the scheme is also investigated.