@article{article_448622, title={Cubic B-Spline Quasi-Interpolation Method For Regularized Long Wave Equation}, journal={Journal of Engineering Technology and Applied Sciences}, volume={3}, pages={173–187}, year={2018}, DOI={10.30931/jetas.448622}, author={Irk, Dursun and Mersin, Mehmet Ali}, keywords={Finite element method,B-spline,Solitary wave,Regularized Long Wave equation}, abstract={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 method for the time integration. The method is tested on the problems of propagation of a solitary wave and interaction of two solitary waves. The three conservation quantities of the motion are calculated to determine the conservation properties of the proposed algorithm.}, number={3}, publisher={Muhammet KURULAY}