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A novel outlook to the an alternative equation for modelling shallow water wave: Regularised Long Wave (RLW) equation

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  • Ali Başhan

    (Zonguldak Bulent Ecevit University)

Abstract

In the present study, numerical solutions of the regularized long-wave (RLW) equation which is commonly taken as an alternative equation for describing shallow water wave are sought. For this purpose, Crank-Nicolson scheme is used for time discretization. Rubin and Graves type linearization technique is used to deal with nonlinear terms. Space discretization is carried out via differential quadrature method. In order to see the accuracy of the hybrid method, three well-known test problems are taken into consideration. To observe the contribution to the literature, present results obtained by using the same parameters with earlier works are compared to each other. Numerical illustrations are given in detail. Rates of the convergence are also calculated and reported.

Suggested Citation

  • Ali Başhan, 2023. "A novel outlook to the an alternative equation for modelling shallow water wave: Regularised Long Wave (RLW) equation," Indian Journal of Pure and Applied Mathematics, Springer, vol. 54(1), pages 133-145, March.
    • Handle: RePEc:spr:indpam:v:54:y:2023:i:1:d:10.1007_s13226-022-00239-4
    DOI: 10.1007/s13226-022-00239-4
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    References listed on IDEAS

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    1. Ali Başhan & N. Murat Yağmurlu & Yusuf Uçar & Alaattin Esen, 2018. "A new perspective for the numerical solutions of the cmKdV equation via modified cubic B-spline differential quadrature method," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 29(06), pages 1-17, June.
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