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A heat polynomials method for the two-phase inverse Stefan problem

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dc.creator Suragan, Durvudkhan
dc.creator Kassabek, Samat A.
dc.date 2023-04-01T00:00:00Z
dc.date.accessioned 2025-02-25T10:23:55Z
dc.date.available 2025-02-25T10:23:55Z
dc.identifier 6d1cbe1e-2193-4c96-884c-04395a7dd7c1
dc.identifier 10.1007/s40314-023-02259-0
dc.identifier https://avesis.sdu.edu.tr/publication/details/6d1cbe1e-2193-4c96-884c-04395a7dd7c1/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/100083
dc.description In this paper, we extend the heat polynomials method (HPM) proposed by the authors for one-dimensional one-phase inverse Stefan problem to the two-phase case. The solution of the problem is presented in the form of linear combination of heat polynomials. The coefficients of this combination can be determined by satisfying the initial and boundary conditions or by the least square method for the boundary of a domain. The inverse problem is ill-posed, therefore, the regularization will be taken into account. Our numerical results are compared with results obtained by another method and show good enough accuracy.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title A heat polynomials method for the two-phase inverse Stefan problem
dc.type info:eu-repo/semantics/article


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