10.1007/s40096-022-00475-z

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

  • Bülent Saka1,
  • İdris Dağ2,
  • Ozlem Ersoy Hepson*1,
  1. Department of Mathematics and Computer Science, Faculty of Science and Letters, Eskisehir Osmangazi University, Eskisehir, TR
  2. Department of Computer Engineering, Faculty of Engineering and Architecture, Eskisehir Osmangazi University, Eskisehir, TR

Published in Issue 2022-05-31

How to Cite

Saka, B., Dağ, İdris, & Hepson, O. E. (2022). Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method. Mathematical Sciences, 17(4 (December 2023). https://doi.org/10.1007/s40096-022-00475-z
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Abstract

Abstract 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.

Keywords

  • RLW equation,
  • Adams–Bashforth–Moulton method,
  • Predictor–corrector method,
  • Quintic B-splines,
  • Undular bore,
  • Wave generation

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