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

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Abstract

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.

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Authors and Affiliations

  1. Department of Computer Engineering, Faculty of Engineering and Architecture, Eskisehir Osmangazi University, Eskisehir, Turkey

    Idris Dag

  2. Department of Mathematics and Computer Science, Faculty of Science and Letters, Eskisehir Osmangazi University, Eskisehir, Turkey

    Ozlem Ersoy Hepson & Bülent Saka

Authors
  1. Idris Dag
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  2. Ozlem Ersoy Hepson
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  3. Bülent Saka
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Correspondence to Bülent Saka.

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Dag, I., Hepson, O.E. & Saka, B. A higher-order efficient approach to numerical simulations of the RLW equation. Pramana - J Phys 96, 30 (2022). https://doi.org/10.1007/s12043-021-02256-0

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  • DOI: https://doi.org/10.1007/s12043-021-02256-0

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