Inverse problem of determining source of the diffusion equation on a metric star graph

In this paper, we solve the inverse source problem that aims to determine the righthand sides of the diffusion equation, in each of the bonds, under specific integral overdetermination conditions on a metric star graph in Sobolev space. We reformulate the problem as an operator equation and show that the corresponding resolvent operator is well-defined.

Authors

Publication Details

Journal
Uzbek Mathematical Journal
Published
2025-06-11
DOI
https://doi.org/10.29229/uzmj.2025-2-26
Primary Topic
Advanced Computational Techniques in Science and Engineering
Type
article
Field-Weighted Citation Impact
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article

Inverse problem of determining source of the diffusion equation on a metric star graph

Z. A. Sobirov, A. A. Turemuratova, I. A. Narziyeva
Uzbek Mathematical Journal
Advanced Computational Techniques in Science and Engineering
article

Inverse problem of determining source of the diffusion equation on a metric star graph

Z. A. Sobirov, A. A. Turemuratova, I. A. Narziyeva
article en

Abstract

In this paper, we solve the inverse source problem that aims to determine the righthand sides of the diffusion equation, in each of the bonds, under specific integral overdetermination conditions on a metric star graph in Sobolev space. We reformulate the problem as an operator equation and show that the corresponding resolvent operator is well-defined.

Uzbek Mathematical JournalVol. 69(2)
Openalex Percentile: Top 81%
Advanced Computational Techniques in Science and Engineering
DOISourceOpenAlex
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Inverse problem of determining source of the diffusion equation on a metric star graph — Z. A. Sobirov, A. A. Turemuratova, et al. · Uzbek Mathematical Journal (2025) | TGRS Research Map | TGRS