Solution of two-phase cylindrical direct stefan problem by using special functions in electrical contact processes
Kharin S.N. Nauryz T.A.
2021Academic Publications Ltd.
International Journal of Applied Mathematics
2021#34Issue 2237 - 248 pp.
In this work two-phase Stefan problem for the cylindrical heat equation is considered. One of the phase turns to zero at an initial time. In this case, it is difficult to solve it by radial heat polynomials because the equations are singular. The solution is represented in linear combination series of special functions, the Laguerre polynomial and confluent hypergeometric function. The free boundary is known. The undetermined coefficients of the heat in two phases and the heat flux are found. The convergence of special functions series is proved.
confluent hypergeometric function , Faa-di Bruno formula , Laguerre polynomial , Stefan problem
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Institute of Mathematics and Mathematical Modeling, Almaty, A26G7T4, Kazakhstan
Kazakh British Technical University, Almaty, A05H1T2, Kazakhstan
Al-Farabi Kazakh National University, Almaty, A15E3B4, Kazakhstan
Satbayev University, Almaty, A15P4X4, Kazakhstan
Institute of Mathematics and Mathematical Modeling
Kazakh British Technical University
Al-Farabi Kazakh National University
Satbayev University
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