A higher-order efficient approach to numerical simulations of the RLW equation

DAĞ İ., ERSOY HEPSON Ö., SAKA B.

Pramana - Journal of Physics, cilt.96, sa.1, 2022 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 96 Sayı: 1
  • Basım Tarihi: 2022
  • Doi Numarası: 10.1007/s12043-021-02256-0
  • Dergi Adı: Pramana - Journal of Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Anahtar Kelimeler: 02.30.Jr, 02.60.Cb, 02.70.Jn, 03.65.Ge, 04.30.Nk, Adams–Bashforth–Moulton method, interaction of solitary waves, predictor–corrector method, quartic B-splines, Regularised long wave equation
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2021, Indian Academy of Sciences.A new numerical algorithm for solving the regularised long wave (RLW) equation is proposed using predictor–corrector method in time and quartic B-spline collocation procedure in space. Accuracy of algorithm is shown by studying the motion of a single solitary wave. Interaction of two solitary waves and three solitary waves, and wave generation from Maxwellian condition are performed to illustrate the suitability of the proposed scheme. Results of the present method are compared with the outcomes of some prosperous numerical algorithms.