Abstract

Based on the asymptotic theory of impurity transport developed by one of the authors (P.S.K.), numerical calculations of the concentration for classical diffusion in heterogeneous media in one and two dimensions are performed. In parallel, for the same media, a direct numerical solution of the diffusion equation was carried out. The results of the two calculations are highly consistent with each other at asymptotically far distances from the impurity source. The computation time according to the asymptotic theory turned out to be two orders of magnitude less than the time required for direct calculations.

Graphic abstract

中文翻译：

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非均质介质中经典扩散的渐近理论的数值实现

摘要

基于一位作者（PSK）提出的杂质迁移的渐近理论，对一维和二维异质介质中经典扩散的浓度进行了数值计算。并行地，对于相同的介质，进行了扩散方程的直接数值解。两次计算的结果在距杂质源渐近距离处彼此高度一致。根据渐近理论，计算时间比直接计算所需的时间少两个数量级。

图形摘要