In-stent restenosis is one of the important inefficient reasons about Drug Eluting Stents (DESs). Awareness of how polymer coated drug distributes by these devices provides valuable informations about its efficacy. Porous media theory has been employed in the modeling of drug polymer and the injured arterial wall composed of media and adventitia. The stabished coupled PDEs describing local pharmacokinets of heparin has been solved numerically by finite volume method. Two approaches, single phase and two phases models, has been chosen for coating and the effect of local mass non-equilibrium dynamics in the coating on drug distribution has been evaluated by allocating three magnitude for solid-liquid transfer time characteristic. Moreover, the effect of lost drug by vasavasorum and microcapilaries has been considered as well as cell metabolism. The results show a significant change in drug concentration distribution in the presence of phase change happening. Reducing in solid-liquid transfer time characteristic is associated with drastic reducing in both drug egression from polymer and wash out from adventitia and has a pleasant effect. Also, consumtion of drug declines concentration level in the wall dramatically, specially in adventitia.