TY - JOUR
T1 - Optimization of Identifying Point Pollution Sources for the Convection-Diffusion-Reaction Equations
AU - Yuan , Yujing
AU - Liang , Dong
JO - Advances in Applied Mathematics and Mechanics
VL - 1
SP - 1
EP - 17
PY - 2020
DA - 2020/10
SN - 13
DO - http://doi.org/10.4208/aamm.OA-2019-0121
UR - https://global-sci.org/intro/article_detail/aamm/18337.html
KW - Convection-diffusion-reaction equation, optimization of identification, pumping point, pollution source point, DE algorithm.
AB - <p style="text-align: justify;">In this paper, we consider the optimization problem of identifying the pollution sources of convection-diffusion-reaction equations in a groundwater process. The optimization model is subject to a convection-diffusion-reaction equation with pumping point and pollution point sources. We develop a linked optimization and simulation approach combining with the Differential Evolution (DE) optimization algorithm to identify the pumping and injection rates from the data at the observation points. Numerical experiments are taken with injections of constant rates and time-dependent variable rates at source points. The problem with one pumping point and two pollution source points is also studied. Numerical results show that the proposed method is efficient. The developed optimized identification approach can be extended to high-dimensional and more complex problems.</p>