J. Valero, A. Giménez, O.V. Kapustyan, P.O. Kasyanov, J.M. Amigó, Convergence of equilibria for numerical approximations of a suspension model, Computers and Mathematics with Applications, 2016, http://doi.org/10.1016/j.camwa.2016.05.034 In this paper we study the numerical approximations of a non-Newtonian model for concentrated suspensions. First, we prove that the approximative models possess a unique fixed point and study their convergence to a stationary point of the original equation. Second, we implement an implicit Euler scheme, proving the convergence of these approximations as well. Finally, numerical simulations are provided.