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

DAĞ İ., ERSOY HEPSON Ö., SAKA B.

Pramana - Journal of Physics, vol.96, no.1, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 96 Issue: 1
  • Publication Date: 2022
  • Doi Number: 10.1007/s12043-021-02256-0
  • Journal Name: Pramana - Journal of Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: 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
  • Eskisehir Osmangazi University Affiliated: Yes

Abstract

© 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.