A linearized implicit finite-difference method for solving the equal width wave equation
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, cilt.83, sa.3, ss.319-330, 2006 (SCI-Expanded, Scopus)
- 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.