In this paper, we propose a reliable algorithm to develop exact and approximate
solutions for the problem of laminar viscous flow in a semi-porous channel in the
presence of a transverse magnetic field. The differential transform method (DTM)
is employed to compute an approximation to the solution of the system of
nonlinear differential equations governing the problem. It has been attempted to
show the reliability and performance of the differential transform method (DTM)
in comparison with the numerical method in solving this problem. The obtained
solutions, in comparison with the numerical solutions admit a remarkable
accuracy. A clear conclusion can be drawn from the numerical method’s results
(NUM) that the DTM provides highly accurate solutions for nonlinear differential
equations.
