Abstract
In this paper, we propose a new application of the successive linearization method for solving a system of nonlinear third order equations that govern the steady of laminar three dimensional flow for an incompressible, viscous fluid past a stretching sheet. A comparison is made with results from existing methods reported in the literature to test the validity, accuracy and convergence of the method. It was found that the method is easy to implement, yields accurate results, and performs better than some numerical methods. Also, the effects of the physical parameters the fluid velocity are depicted graphically and are analyzed in detail.
•The problem of laminar three-dimensional flow in a porous medium has been solved.•The problem has been solved using the Successive Linearization Method (SLM).•Comparisons have been made to test the validity and convergence of the method.•The conclusion is that the SLM gives high accuracy and computational efficiency.•Increase in the magnetic and porosity parameters reduced the velocity profiles.