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

Ali Başhan
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Ali Başhan: Zonguldak Bulent Ecevit University

Indian Journal of Pure and Applied Mathematics, 2023, vol. 54, issue 1, 133-145

Abstract: 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.

Keywords: Finite difference method; Differential quadrature method; RLW equation; Convergence; B-splines; 65D32; 74J35; 65D07; 65M06; 65M12 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13226-022-00239-4

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