BOUNDARY VALUE PROBLEM FOR THE EQUATION IN HEAT CONDUCTION WITH NONLINEAR LOAD
https://doi.org/10.31143/2221-7789-2024-1-108-109
EDN: JULQOK
Abstract
The work investigates the initial-boundary value problem for the heat conduction equation with a nonlinear load. The unique solvability of the problem under investigation is proven. Its solution is obtained using the Fourier method by reducing it to the classical initial-boundary value problem for the homogeneous heat conduction equation.
About the Authors
M. Kh. Abregov
Kabardino-Balkarian State University
Russian Federation
Russian Federation
F. M. Nakhusheva
Kabardino-Balkarian State University
Russian Federation
Russian Federation
A. B. Bitsuev
Kabardino-Balkarian State University
Russian Federation
Russian Federation
References
1. Tikhonov A.N., Samarsky A.A. Equations of Mathematical Physics. Moscow: Nauka, 1977. 736 p.
2. Budak B.M., Samarsky A.A., Tikhonov A.N. Collection of Problems in Mathematical Physics. Moscow: Moscow State University, MMI, 1952. 688 p.
Review
For citations:
Abregov M.Kh., Nakhusheva F.M., Bitsuev A.B. BOUNDARY VALUE PROBLEM FOR THE EQUATION IN HEAT CONDUCTION WITH NONLINEAR LOAD. Proceedings of the Kabardino-Balkarian State University. 2024;14(1):108-109. (In Russ.) https://doi.org/10.31143/2221-7789-2024-1-108-109. EDN: JULQOK
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