From the summary: We present a two-dimensional computational analysis of steady-state thermal boundary layer flow of a second-order non-Newtonian fluid past a horizontal wedge in Brinkman-Darcy porous medium, in the presence of a transverse magnetic field. The governing equations are transformed from Cartesian coordinates \((x,y)\) into a sixth-order system of partial differential equations in a \(\xi-n\) coordinate system. These complex equations are then reduced to a set of six first-order equations which are solved using the Keller finite difference method and a block tridiagonal iterative solver SOLV6.