Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model Full article
| Journal |
Computational Mathematics and Mathematical Physics
ISSN: 0965-5425 , E-ISSN: 1555-6662 |
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| Output data | Year: 2022, Volume: 62, Number: 4, Pages: 674-684 Pages count : 11 DOI: 10.1134/s0965542522040145 | ||||
| Tags | diffusion-logistic model, source identification problem, inverse problem, gradient methods, adjoint problem, comparative analysis, regularization, optimization, social processes | ||||
| Authors |
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| Affiliations |
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Funding (1)
| 1 | Russian Science Foundation | 18-71-10044-P |
Abstract:
The paper presents a comparative analysis of the numerical solution of the problem of source identification in the diffusion-logistics model from the data on the diffusion process at fixed points in time and space by gradient methods in continuous and discrete formulations. Expressions are obtained for calculating the gradient of the objective functional for two formulations related to the solution of the corresponding adjoint problems. It is shown that, if the discrete functions of the model are approximated by cubic splines, the accuracy of the solutions of the source identification problem has the same order in the case of continuous and discrete calculation of the gradient. Numerical experiments in solving the source identification problem for a discrete model of information dissemination in online social networks have shown that the use of the discrete approach significantly increases the computational time in comparison with the continuous approach.
Cite:
Zvonareva T.A.
, Krivorot’ko O.I.
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model
Computational Mathematics and Mathematical Physics. 2022. V.62. N4. P.674-684. DOI: 10.1134/s0965542522040145 WOS Scopus РИНЦ OpenAlex
Comparative Analysis of Gradient Methods for Source Identification in a Diffusion-Logistic Model
Computational Mathematics and Mathematical Physics. 2022. V.62. N4. P.674-684. DOI: 10.1134/s0965542522040145 WOS Scopus РИНЦ OpenAlex
Original:
Звонарева Т.А.
, Криворотько О.И.
Сравнительный анализ градиентных методов определения источника диффузионно-логистической модели
Журнал вычислительной математики и математической физики. 2022. Т.62. №4. С.694-704. DOI: 10.31857/S0044466922040147 РИНЦ
Сравнительный анализ градиентных методов определения источника диффузионно-логистической модели
Журнал вычислительной математики и математической физики. 2022. Т.62. №4. С.694-704. DOI: 10.31857/S0044466922040147 РИНЦ
Dates:
| Submitted: | Aug 10, 2021 |
| Accepted: | Dec 16, 2021 |
| Published online: | May 7, 2022 |
| Published print: | Jun 7, 2022 |
Identifiers:
| Web of science: | WOS:000800838600011 |
| Scopus: | 2-s2.0-85130713894 |
| Elibrary: | 48586464 |
| OpenAlex: | W4281694411 |