Email this article Initial-boundary value problem for nonstationary heat conduction equation in a bounded domain with non-insulated lateral surface
- Authors: Beybalaev V.D.1,2, Ibavov T.I.1
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Affiliations:
- Daghestan State University
- Institute of Geothermal Problems and Renewable Energy Sources, Branch of the Joint Institute for High Temperatures of the Russian Academy of Sciences in Makhachkala
- Issue: Vol 29, No 3 (2025)
- Pages: 554-565
- Section: Short Communications
- URL: https://journal-vniispk.ru/1991-8615/article/view/349688
- DOI: https://doi.org/10.14498/vsgtu2155
- EDN: https://elibrary.ru/KNQSLO
- ID: 349688
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Abstract
This study investigates an initial-boundary value problem for a bounded domain in thermal interaction with an external medium, incorporating memory effects through the Caputo time-fractional derivative. Heat transfer through the lateral surface is modeled as a negative heat source in the governing differential equation. An a priori estimate for the solution is established. The solution is derived by using an operational method based on the Laplace transform in time.
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##article.viewOnOriginalSite##About the authors
Vetlugin D. Beybalaev
Daghestan State University; Institute of Geothermal Problems and Renewable Energy Sources, Branch of the Joint Institute for High Temperatures of the Russian Academy of Sciences in Makhachkala
Author for correspondence.
Email: kaspij_03@mail.ru
ORCID iD: 0000-0002-4881-9264
Scopus Author ID: 57198778939
https://www.mathnet.ru/rus/person42519
Cand. Phys. & Math. Sci.; Associate Professor; Dept. of Applied Mathematics; Senior Researcher; Lab. of Geothermomechanics
Russian Federation, 367000, Makhachkala, Magomet Gadzhiev st., 43a; 367030, Makhachkala, Imam Shamil Avenue, 39aTemirlan I. Ibavov
Daghestan State University
Email: ibavov94@mail.ru
ORCID iD: 0009-0006-8743-4304
https://www.mathnet.ru/rus/person207622
Senior Lecturer; Dept. of Discrete Mathematics and Computer Science
Russian Federation, 367000, Makhachkala, Magomet Gadzhiev st., 43aReferences
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