Numerical solution for Benjamin-Bona-Mahony-Burgers equation with Strang time-splitting technique

In the present manuscript, Benjamin-Bona-Mahony-Burgers (BBMB) equation will be handled numerically by Strang time-splitting technique. While applying this technique, collocation method based on quintic B-spline basis functions is applied. line with our purpose, after splitting BBM-Burgers given appropriate initial boundary conditions into two subequations containing derivative in terms of time, finite element (FEM) for spatial discretization and suitable difference approaches time applied to each subequation hereby different systems algebraic equations are obtained. Four test problems utilized efficiency reliability presented method. The error norms $L_2$ $L_\infty$ mass, energy, momentum conservation constants $I_1$,$I_2$ $I_3$, respectively, computed. To do a comparison other studies literature, newly found approximate solutions exhibited both tabular graphical formats. Also, stability analysis numerical approach von Neumann researched.