Abstract The paper is devoted to the construction and study of the additive averaged semi-discrete scheme for one nonlinear multi-dimensional integro-differential equation of parabolic type. The studied equation is based on the well-known Maxwell’s system arising in mathematical simulation of electromagnetic field penetration into a substance.

中文翻译：

---

一个非线性多维积分微分抛物线方程求和的平均半离散格式

摘要 本文致力于对一个抛物型非线性多维积分微分方程的加法平均半离散格式的构造和研究。所研究的方程基于众所周知的麦克斯韦系统，该系统出现在电磁场穿透物质的数学模拟中。