ONE-PHASE SPHERICAL STEFAN PROBLEM WITH TEMPERATURE DEPENDENT COEFFICIENTS
Kharin S.N. Nauryz T.A.
2021L.N. Gumilyov Eurasian National University
Eurasian Mathematical Journal
2021#12Issue 149 - 56 pp.
The one-phase spherical Stefan problem with coefficients depending on the temperature is considered. The method of solving is based on the similarity principle, which enables us to reduce this problem to a nonlinear ordinary differential equation, and then to an equivalent nonlinear integral equation of the Volterra type. It is shown that the obtained integral operator is a contraction operator and a unique solution exists.
explicit solution , melting , nonlinear integral equation , nonlinear thermal coefficients , Stefan problem
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Department of Mathematical and Computer, Modeling Institute of Mathematics and Mathematical, Modeling 125 Pushkin St, Almaty, 050010
Kazakhstan and Kazakh-British Technical University, 59 Tole bi St, Almaty, 050000, Kazakhstan
Department of Mathematical and Computer Modeling, Institute of Mathematics and Mathematical, Modeling 125 Pushkin St, Almaty, 050010/A26G7T4
Kazakhstan and Al-Farabi Kazakh National University, 71/23 Al-Farabi St, Almaty, 050040/A05E3B3
Department of Mathematical and Computer
Kazakhstan and Kazakh-British Technical University
Department of Mathematical and Computer Modeling
Kazakhstan and Al-Farabi Kazakh National University
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