This paper presents an iterative procedure based on an implicit finite difference method to solve a mathematical model of drug delivery from a planar matrix with a moving boundary condition. This model includes the diffusion equation with space–time fractional-order derivatives. We establish the stability and convergence analysis of the method. We compare the numerical results with the scale-invariant and the homotopy perturbation solutions for different space–time-fractional orders and the problem parameters.

中文翻译：

---

针对由药物释放系统引起的时空分数移动边界问题的计算方法的开发

本文提出了一种基于隐式有限差分法的迭代程序，以求解带有移动边界条件的平面矩阵药物输送的数学模型。该模型包括具有时空分数阶导数的扩散方程。我们建立了该方法的稳定性和收敛性分析。我们将数值结果与针对不同时空分数阶和问题参数的尺度不变和同伦摄动解进行比较。