SOLUTION CONSTRUCTION OF A PARABOLIC INITIAL-BOUNDARY VALUE PROBLEM FOR DIFFERENT REGRESSION MODELS AT THE LOWER BODY BOUNDARY

Olha  Chernukha; Yurii  Bilushchak; Anastasiia  Chuchvara; Halyna  Bilushchak

doi:10.36074/logos-04.04.2025.042

Фізико-математичні науки

April 4, 2025; Paris, France: VIII Міжнародна науково-практична конференція «DÉBATS SCIENTIFIQUES ET ORIENTATIONS PROSPECTIVES DU DÉVELOPPEMENT SCIENTIFIQUE»

SOLUTION CONSTRUCTION OF A PARABOLIC INITIAL-BOUNDARY VALUE PROBLEM FOR DIFFERENT REGRESSION MODELS AT THE LOWER BODY BOUNDARY

Olha Chernukha⁺⁻
Yurii Bilushchak⁺⁻
Anastasiia Chuchvara⁺⁻
Halyna Bilushchak⁺⁻

DOI: https://doi.org/10.36074/logos-04.04.2025.042
Опубліковано: 11.05.2025

Анотація

A parabolic initial-boundary value problem in a layer with experimental data for the sought function on the lower boundary is formulated and solved. The general solution is specified for different types of regression models.

Посилання

Abramowitz, М., & Stegun, I. (1972). Handbook of mathematical functions. United States Government Printing Office.
Apostol, M. (2018). Equations of mathematical physics. Cambridge Scholars Publishing.
Balaji, T. E., Tanaya Das, H., & Maiyalagan, T. (2021). Recent trends in
bimetallic oxides and their composites as electrode materials
for supercapacitor applications. ChemElectroChem, 8(10), 1723–1746. https://doi.org/10.1002/celc.202100098
Chernukha, O., Pukach, P., Bilushchak, H., Bilushchak, Y., & Vovk, M. (2024). Advanced statistical approach for the mathematical modeling of transfer processes in a layer based on experimental data at the boundary. Symmetry, 16(7), 802. https://doi.org/10.3390/sym16070802
Kamke, E. (2012). Differentialgleichungen Lösungsmethoden und Lösungen. Vieweg+Teubner Verlag.
Kartashov, M.V. (2005). Probability, processes, statistics. Kyiv University Publishing.
Klyatskin, V.I. (2005). Dynamics of stochastic systems. Elsevier. https://doi.org/10.1016/b978-0-444-51796-8.x5000-9
Moshiul Alam, A. K. M., Manir, M. S., Islam, M. R., Razzak, M., Al Mamun, M., & Shubhra, Q. T. H. (2025). Evolution and recent advancements of composite materials in biomaterials applications. Applications of composite materials in engineering(с. 267–301). Elsevier. https://doi.org/10.1016/b978-0-443-13989-5.00011-5
Sazonov, V. V., Grigelionis, B., Prohorov, Y. V., & Statulevičius, V. (2020). Probability theory and mathematical statistics. vol. 1. de Gruyter GmbH, Walter.
Sneddon, I. N. (1974). The use of integral transforms.Tata McGraw-Hill.
Tang, C., Rygaard, M., Rosshaug, P. S., Kristensen, J. B., & Albrechtsen, H.-J. (2021). Evaluation and comparison of centralized drinking water softening technologies: Effects on water quality indicators. Water Research, 203, 117439. https://doi.org/10.1016/j.watres.2021.117439
Van der Bruggen, B. (2021). Sustainable implementation of innovative technologies for water purification. Nature Reviews Chemistry, 5(4), 217–218. https://doi.org/10.1038/s41570-021-00264-7

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Як цитувати

Chernukha, O. ., Bilushchak, Y. ., Chuchvara, A. ., & Bilushchak, H. . (2025). SOLUTION CONSTRUCTION OF A PARABOLIC INITIAL-BOUNDARY VALUE PROBLEM FOR DIFFERENT REGRESSION MODELS AT THE LOWER BODY BOUNDARY. Збірник наукових праць «ΛΌГOΣ», (April 4, 2025; Paris, France), 228–237. https://doi.org/10.36074/logos-04.04.2025.042

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Статті цього автора (авторів), які найбільше читають

Olha Chernukha, Yurii Bilushchak, Anastasiia Chuchvara, MATHEMATICAL MODEL OF CHEMICAL PURIFICATION OF WATER IN A MECHANICAL FILTER , Збірник наукових праць «ΛΌГOΣ»: July 8, 2022; Paris, France: III Міжнародна науково-практична конференція «DÉBATS SCIENTIFIQUES ET ORIENTATIONS PROSPECTIVES DU DÉVELOPPEMENT SCIENTIFIQUE»

[1] Abramowitz, М., & Stegun, I. (1972). Handbook of mathematical functions. United States Government Printing Office.

[2] Apostol, M. (2018). Equations of mathematical physics. Cambridge Scholars Publishing.

[3] Balaji, T. E., Tanaya Das, H., & Maiyalagan, T. (2021). Recent trends in

[4] bimetallic oxides and their composites as electrode materials

[5] for supercapacitor applications. ChemElectroChem, 8(10), 1723–1746. https://doi.org/10.1002/celc.202100098

[6] Chernukha, O., Pukach, P., Bilushchak, H., Bilushchak, Y., & Vovk, M. (2024). Advanced statistical approach for the mathematical modeling of transfer processes in a layer based on experimental data at the boundary. Symmetry, 16(7), 802. https://doi.org/10.3390/sym16070802

[7] Kamke, E. (2012). Differentialgleichungen Lösungsmethoden und Lösungen. Vieweg+Teubner Verlag.

[8] Kartashov, M.V. (2005). Probability, processes, statistics. Kyiv University Publishing.

[9] Klyatskin, V.I. (2005). Dynamics of stochastic systems. Elsevier. https://doi.org/10.1016/b978-0-444-51796-8.x5000-9

[10] Moshiul Alam, A. K. M., Manir, M. S., Islam, M. R., Razzak, M., Al Mamun, M., & Shubhra, Q. T. H. (2025). Evolution and recent advancements of composite materials in biomaterials applications. Applications of composite materials in engineering(с. 267–301). Elsevier. https://doi.org/10.1016/b978-0-443-13989-5.00011-5

[11] Sazonov, V. V., Grigelionis, B., Prohorov, Y. V., & Statulevičius, V. (2020). Probability theory and mathematical statistics. vol. 1. de Gruyter GmbH, Walter.

[12] Sneddon, I. N. (1974). The use of integral transforms.Tata McGraw-Hill.

[13] Tang, C., Rygaard, M., Rosshaug, P. S., Kristensen, J. B., & Albrechtsen, H.-J. (2021). Evaluation and comparison of centralized drinking water softening technologies: Effects on water quality indicators. Water Research, 203, 117439. https://doi.org/10.1016/j.watres.2021.117439

[14] Van der Bruggen, B. (2021). Sustainable implementation of innovative technologies for water purification. Nature Reviews Chemistry, 5(4), 217–218. https://doi.org/10.1038/s41570-021-00264-7