Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model

An inverse coefficient problem for a mathematical model of sorption dynamics is considered. The inverse problem is reduced to nonlinear operator equations with respect to the unknown function. These equations are used to construct and justify the convergence of iterative methods for solving the inverse problem. Examples of applying the proposed iterative methods to numerically solving the inverse problem are given.

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Publication Details

Journal
Computational Mathematics and Mathematical Physics
Published
2024-11-01
DOI
https://doi.org/10.1134/s0965542524701501
Citations
2
Primary Topic
Numerical methods in inverse problems
Type
article
Field-Weighted Citation Impact
1.78
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article

Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model

Dongqin Zhu, А. М. Денисов
2 citations
Computational Mathematics and Mathematical Physics
Numerical methods in inverse problems
1.78
article

Iterative Numerical Methods for Solving the Problem of Determining the Coefficient in the Sorption Dynamics Model

Dongqin Zhu, А. М. Денисов
article en
2 citations

Abstract

An inverse coefficient problem for a mathematical model of sorption dynamics is considered. The inverse problem is reduced to nonlinear operator equations with respect to the unknown function. These equations are used to construct and justify the convergence of iterative methods for solving the inverse problem. Examples of applying the proposed iterative methods to numerically solving the inverse problem are given.

Computational Mathematics and Mathematical PhysicsVol. 64(11)
Lomonosov Moscow State University (RU)
Openalex Percentile: Top 15%
Numerical methods in inverse problems
1.78
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