论文标题
用于重建（时间分数）演化方程中移动源的概况的数值方案
Numerical schemes for reconstructing profiles of moving sources in (time-fractional) evolution equations
论文作者
论文摘要
本文涉及在确定（时间分数）演变方程中源源概要文件时，数值重建方案的衍生数。作为对唯一性的理论结果的延续，我们采用了一个和正则化的最小化程序来构建迭代阈值方案，以减少恢复一个或两个未知的初始值（s）的后退问题。此外，提出了一种椭圆方法来解决两个曲线的对流方程。
This article is concerned with the derivation of numerical reconstruction schemes for the inverse moving source problem on determining source profiles in (time-fractional) evolution equations. As a continuation of the theoretical result on the uniqueness, we adopt a minimization procedure with regularization to construct iterative thresholding schemes for the reduced backward problems on recovering one or two unknown initial value(s). Moreover, an elliptic approach is proposed to solve a convection equation in the case of two profiles.
