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A finite difference solution of the regularized long-wave equation

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  • S. Kutluay
  • A. Esen

Abstract

A linearized implicit finite difference method to obtain numericalsolution of the one-dimensional regularized long-wave (RLW)equation is presented. The performance and the accuracy of themethod are illustrated by solving three test examples of theproblem: a single solitary wave, two positive solitary wavesinteraction, and an undular bore. The obtained results arepresented and compared with earlier work.

Suggested Citation

  • S. Kutluay & A. Esen, 2006. "A finite difference solution of the regularized long-wave equation," Mathematical Problems in Engineering, Hindawi, vol. 2006, pages 1-14, March.
    • Handle: RePEc:hin:jnlmpe:085743
    DOI: 10.1155/MPE/2006/85743
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    Cited by:

    1. Bulut, Fatih & Oruç, Ömer & Esen, Alaattin, 2022. "Higher order Haar wavelet method integrated with strang splitting for solving regularized long wave equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 197(C), pages 277-290.
    2. Ngondiep, Eric, 2024. "A high-order combined finite element/interpolation approach for multidimensional nonlinear generalized Benjamin–Bona–Mahony–Burgers equation," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 560-577.

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