Analytical solution of Stefan-type problems-Reference-Cited by-同舟云学术

Analytical solution of Stefan-type problems

Published:2024-01-02 Issue:0 Volume:0 Page:
ISSN:0928-0219
Container-title:Journal of Inverse and Ill-posed Problems
language:en
Short-container-title:

Author:

Kassabek Samat A.¹^ORCID,Nauryz Targyn A.²,Toleukhanov Amankeldy³

Affiliation:

1. Department of Computational and Data Science , Astana IT University , Astana , Kazakhstan

2. Kazakh British Technical University ; and Institute of Mathematics and Mathematical Modeling, Narxoz University , Almaty , Kazakhstan

3. Satbayev University , Almaty , Kazakhstan

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2021-0077/pdf

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