In this paper, a system of partial differential equations, that can be used to describe the drug release from a biodegradable viscoelastic polymeric platform, is studied from an analytical and numerical point of view. The system is defined in a moving boundary domain and its stability is analysed. From numerical point of view, a numerical method is proposed and its convergence properties are established. In the context of the drug release from biodegradable polymeric platforms, the qualitative behaviour of the differential system is numerically illustrated.

中文翻译：

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从表面侵蚀可生物降解的粘弹性聚合物平台释放药物：分析和数值模拟

在本文中，从分析和数值的角度研究了可用于描述药物从可生物降解的粘弹性聚合物平台上释放的偏微分方程组。该系统定义在移动边界域中，并对其稳定性进行了分析。从数值的观点出发，提出了一种数值方法，并建立了其收敛性。在药物从可生物降解的聚合物平台上释放的情况下，用数值方式说明了差分系统的定性行为。