Title | On analytical methods of heat conduction modelling in the system “well + rock bed” |
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Authors | A. O. Syromyasov^{1}, T. V. Menshakova^{1}^{1}National Research Mordovia State University |

Annotation | The model problem of heat transfer from cylindrical well to surrounding rock bed is reduced to external initial-boundary problem for heat conduction equation with boundary conditions of the third kind. For this problem several different types of geometry are taken into account. Basic analytical methods of solution of heat conduction equation are observed. Efficiency of these methods' application to the problem stated is discussed. |

Keywords | heat conduction equation, initial-boundary problem, boundary conditions of the third kind, analytical methods of solution, integral transforms, separation of variables, well |

Citation | Syromyasov A. O., Menshakova T. V. ''On analytical methods of heat conduction modelling in the system “well + rock bed”'' [Electronic resource]. Proceedings of the XIII International scientific conference ''Differential equations and their applications in mathematical modeling''. (Saransk, July 12-16, 2017). Saransk: SVMO Publ, 2017. - pp. 322-329. Available at: https://conf.svmo.ru/files/deamm2017/papers/paper45.pdf. - Date of access: 04.12.2023. |

**© SVMO, National Research Mordovia State University, 2023**

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