@Article{AAMM-16-1,
author = {Shcheglov, Alexey and Li, Jingzhi and Wang, Chao and Ilin, Alexander and Zhang, Ye},
title = {Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm},
journal = {Advances in Applied Mathematics and Mechanics},
year = {2024},
volume = {16},
number = {1},
pages = {237--252},
abstract = {<p style="text-align: justify;">This study addresses the parameter identification problem in a system of
time-dependent quasi-linear partial differential equations (PDEs). Using the integral
equation method, we prove the uniqueness of the inverse problem in nonlinear PDEs.
Moreover, using the method of successive approximations, we develop a novel iterative algorithm to estimate sorption isotherms. The stability results of the algorithm
are proven under both a priori and a posteriori stopping rules. A numerical example is
given to show the efficiency and robustness of the proposed new approach.</p>},
issn = {2075-1354},
doi = {https://doi.org/10.4208/aamm.OA-2023-0020},
url = {https://global-sci.com/article/72808/reconstructing-the-absorption-function-in-a-quasi-linear-sorption-dynamic-model-via-an-iterative-regularizing-algorithm}
}