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Bulletin of Abai KazNPU. 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

124

38

G.Е. Berikkhanova +−
Shakarim University, Semey
О.М. Zholymbayev +−
Shakarim University, Semey
A. Aniyarov+−
Astana International University, Astana
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.

pdf (Русский)
Keywords
variable coefficient, Bessel equation, thermal conductivity, thermal balance, filtration, pressure
Language

Русский

How to Cite

[1]
Berikkhanova Г., Zholymbayev О. and Aniyarov, A. 2023. SOME PHYSICAL PROBLEMS THAT LEAD TO THE BESSEL EQUATION. Bulletin of Abai KazNPU. Series of Physical and mathematical sciences. 82, 2 (Jun. 2023), 90–99. DOI:https://doi.org/10.51889/2959-5894.2023.82.2.010.