In this paper, collocation algorithms using cubic B-splines for solving the generalized regularized long wave (GRLW) equation are presented. The proposed algorithms are based on Crank-Nicolson formulation and central-finite difference approximation. The nonlinear term in each case is computed during executing the algorithm without linearization. The stability analysis using Von-Neumann technique shows the schemes are unconditionally stable. To test accuracy the error norms  are computed. Also, conservation quantities are evaluated which are found to be small. These results show that the technique introduced here is accurate and easy to apply.

collocation method, cubic B-splines, generalized regularized long wave equation, solitary waves, solitons.