Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method

SAKA B., DAĞ İ., ERSOY HEPSON Ö.

Mathematical Sciences, cilt.17, sa.4, ss.491-502, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 17 Sayı: 4
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1007/s40096-022-00475-z
  • Dergi Adı: Mathematical Sciences
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.491-502
  • Anahtar Kelimeler: RLW equation, Adams-Bashforth-Moulton method, Predictor-corrector method, Quintic B-splines, Undular bore, Wave generation, FINITE-ELEMENT-METHOD, NUMERICAL-SOLUTION, GALERKIN METHOD, SOLITARY WAVES, LONG WAVES, MODEL
  • Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

© 2022, The Author(s), under exclusive licence to Islamic Azad University.Solitary wave solutions are studied by way of the regularized long wave (RLW) equation. RLW equation is fully integrated by using combination of the quintic collocation method and predictor–corrector method. The implementation of the new presented method is shown in the RLW equation. Accuracy of numerical solutions of the RLW equation is seen to be increased by employing the predictor–corrector time integrator for the collocation method. Comparison of results is done with some earlier prosperous methods. Four problems are tested to show validity and efficiency of the techniques.