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Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences"
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Vol. 82 No. 2 (2023)

SOME PHYSICAL PROBLEMS THAT LEAD TO THE BESSEL EQUATION

Published June 2023
G.Е. Berikkhanova +− О.М. Zholymbayev +− A. Aniyarov+−
Shakarim University, Semey
Shakarim University, Semey
Astana International University, Astana
DOI: 10.51889/2959-5894.2023.82.2.010
Abstract

In this article consider a second-order differential equation with variable coefficients, which leads to the Bessel equation. As an example, the problems of heat loss through the furnace wall and cylindrical filtration are considered. A mathematical model of these processes has been compiled. The differential equation describing the process is reduced to the Bessel equation. The desired solution is represented as a power series. The Bessel function is also used to solve the problem.

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Keywords
variable coefficient, Bessel equation, thermal conductivity, thermal balance, filtration, pressure
How to Cite

[1]
Берикханова , Г., Жолымбаев , О. and Анияров A. 2023. SOME PHYSICAL PROBLEMS THAT LEAD TO THE BESSEL EQUATION. Bulletin of the Abai KazNPU, the series of "Physical and Mathematical Sciences". 82, 2 (Jun. 2023), 90–99. DOI:https://doi.org/10.51889/2959-5894.2023.82.2.010.