The present paper deals with non-Darcian, forced convection, boundary layer flow over a wedge with a variable free stream, taking into account the effects of connective inertia, solid boundary, and porous inertia as well as Darcyflow resistance. Three novel methods, namely, the extended series method together with Shanks' transformation, the local nonsimilarity method, and the finite difference approximations combined with the Keller box method, are employed to integrate local nonsimilarity momentum and energy equations governing the flow. The results thus obtained are compared with the local skin friction and the local Nussett number at the surface. Effects of different physical parameters on the local rate of heat transfer coefficient against the Darcy drag parameter ξ are examined for fluids of Prandtl number σa ranging from 0.7 to 100.0.