Analytical solution of Stefan-type problems
Kassabek S.A. Nauryz T.A. Toleukhanov A.
1 August 2024Walter de Gruyter GmbH
Journal of Inverse and Ill-Posed Problems
2024#32Issue 4627 - 646 pp.
In this paper, free surface problems of Stefan type for the parabolic heat equation are considered. The analytical solutions of the problems are based on the method of heat polynomials and integral error function in the form of series. Convergence of the series solution is considered and proved. Both one-and two-phase Stefan-type problems are investigated. Numerical results for one-phase inverse Stefan problem are presented and discussed.
analytical and approximate solutions , Method of special functions and the heat polynomials method , Stefan-type problems
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Department of Computational and Data Science, Astana IT University, Astana, Kazakhstan
Kazakh British Technical University;, Institute of Mathematics and Mathematical Modeling, Narxoz University, Almaty, Kazakhstan
Satbayev University, Almaty, Kazakhstan
Department of Computational and Data Science
Kazakh British Technical University;
Satbayev University
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