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Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm
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Year:    2024

Author:    Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 237–252

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/aamm.OA-2023-0020

Advances in Applied Mathematics and Mechanics, Vol. 16 (2024), Iss. 1 : pp. 237–252

Published online:    2024-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    16

Keywords:    Inverse problem quasi-linear dynamic model uniqueness method of successive approximations stability.

Author Details

Alexey Shcheglov

Jingzhi Li

Chao Wang

Alexander Ilin

Ye Zhang

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