This paper proposes a numerical scheme for solving a system of convection-reaction-diffusion equations describing the process of preparing a catalyst on a porous support by the impregnation method. In the case of a considered porous spherical pellet, the equations are defined on an interval, one end of which, associated with the front of the impregnating liquid, moves according to a given law. The law of front motion is used to create a consistent space-time grid for discretizing the system. Examples of numerical solutions of the impregnation problem are given, demonstrating the effectiveness of the proposed scheme.

翻译：本文提出了一种数值格式，用于求解描述通过浸渍法制备多孔载体催化剂过程的对流-反应-扩散方程组。在所考虑的多孔球形颗粒情况下，方程组定义在一个区间上，该区间的一个端点与浸渍液前沿相关联，并根据给定规律移动。利用前沿运动规律构建了一致时空网格以离散化方程组。文中给出了浸渍问题数值解的算例，证明了所提格式的有效性。