TY - JOUR T1 - Cubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation AU - Irk, Dursun AU - Mersin, Mehmet Ali PY - 2018 DA - December DO - 10.30931/jetas.448622 JF - Journal of Engineering Technology and Applied Sciences JO - JETAS PB - Muhammet KURULAY WT - DergiPark SN - 2548-0391 SP - 173 EP - 187 VL - 3 IS - 3 LA - en AB - In this study, we present a numerical method to solve the Regularized Long Wave (RLW) equation,based on cubic B-spline quasi-interpolation for the space integration and Crank-Nicolson methodfor the time integration. The method is tested on the problems of propagation of a solitary waveand interaction of two solitary waves. The three conservation quantities of the motion are calculatedto determine the conservation properties of the proposed algorithm. KW - Finite element method KW - B-spline KW - Solitary wave KW - Regularized Long Wave equation CR - [1] Peregrine, D.H., “Calculations of the development of an undular bore”, J. Fluid. 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