In this research, we used Akbari-Ganji’s Method (AGM) to solve the issue of laminar Nano fluid flow in a semi-porous channel in the presence of latitudinal magnetic field. The effectual viscosity and thermal conductivity of Nano fluid flow are computed by Brinkman and Maxwell–Garnetts (MG) models, respectively. Also, the concept of Akbari-Ganji’s Method is briefly employed and introduced to derive solutions of nonlinear equations. The received outcomes of AGM are compared with those of acquired from Numerical Method (fourth-order Runge–Kutta method), Collocation Method (CM), Homotopy Perturbation Method (HPM) and Flex-PDE software to check the precision of the considered manner. In the present perusal, the impact of the three dimensionless numbers like the Nano fluid volume fraction, Reynolds number and Hartmann number on non-dimensional velocity profiles are examined. Outcomes show when Ha is tiny, the impact of Re number is very sensible on the velocity profiles but in Ha large, Re number is less impact. In addition, this study shows AGM is strong manner to solve nonlinear differential equations.