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Approach to Numerical Implementation of the Drift-Diffusion Model of Field Effects Induced by a Moving Source
Russian Physics Journal ( IF 0.4 ) Pub Date : 2020-05-01 , DOI: 10.1007/s11182-020-02008-4
A. V. Pavelchuk , A. G. Maslovskaya

An approach to numerical implementation of the diffusion-drift model is described with application to problem of estimating field effects induced in an object by a concentrated moving source. The mathematical model is formalized using initial boundary-value problem for multidimensional evolution equation of convection-reaction-diffusion type. The computational algorithm is based on modification of the predictor-corrector scheme intended for solving the diffusion problem and approximation of the drift component by the Roberts–Weiss scheme. The mathematical model has been implemented in the Matlab software package. The results of computing experiments attendant to variations of the control model parameters are presented.

中文翻译:

动源引起的场效应漂移扩散模型的数值实现方法

描述了扩散漂移模型的数值实现方法,并应用于估计集中运动源在物体中引起的场效应的问题。利用对流-反应-扩散型多维演化方程的初始边值问题,将数学模型形式化。计算算法基于对预测器-校正器方案的修改,该方案旨在通过罗伯茨-魏斯方案解决扩散问题和漂移分量的近似。数学模型已在 Matlab 软件包中实现。介绍了伴随控制模型参数变化的计算实验结果。
更新日期:2020-05-01
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