Drug release from viscoelastic polymeric matrices is a complex phenomenon where the main actors are the fluid, the polymeric structure and the drug. As the fluid enters into the polymer, the polymeric chains relax inducing a resistance to the fluid entrance. In contact with the fluid, a dissolution processes takes place and the dissolved drug diffuses through the medium. Our main goal in this paper is to propose a stable finite difference method that leads to supraconvergent approximations for the fluid, solid and dissolved drug concentrations. The analysis proposed is non-standard in the sense that the error estimates have an important role in the stability analysis.

从粘弹性聚合物基质中释放药物是一种复杂的现象，其中主要因素是流体、聚合物结构和药物。当流体进入聚合物时，聚合物链松弛，从而对流体入口产生阻力。与流体接触时发生溶解过程，溶解的药物通过介质扩散。我们在本文中的主要目标是提出一种稳定的有限差分方法，该方法导致流体、固体和溶解药物浓度的超收敛近似。建议的分析是非标准的，因为误差估计在稳定性分析中具有重要作用。