A novel outlook to the an alternative equation for modelling shallow water wave: Regularised Long Wave (RLW) equation
Ali Bashan
article (Uluslararası, Hakemli) | Yazar(lar): Ali Bashan | Yıl: 2023 — Özet: 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 dis
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.