We present an approach for the solution of the outlet boundary conditions within the lattice Boltzmann framework. Our method is based on a regularized version of the lattice Boltzmann equation, using and incompressible formulation for the BGK collision operator, where second-order moments of the distribution function are considered on the reconstruction of the regularized particle populations. This work is based on the idea of Hegele et al. \cite{ref1}, where the reconstruction of the unknown moments is made through the use of known particle populations at the boundary, resulting in a system of equations. The system of equations is solved in the same fashion as Hegele et al.\cite{ref1}. The lattice Boltzmann stencils considered in this work are the $D2Q9$ and $D3Q19$ in two and three dimensions, respectively. We use as a benchmark test the pipe flow. We compared the solutions obtained in this study with analytical solutions from the literature for the two- and three-dimensional cases. We have obtained good agreement between all the solutions.