An analytical method for solving the two-phase inverse Stefan problem

• Autorzy: Hetmaniok E. , Słota D. , Wituła R. , Zielonka A.

Identyfikatory

DOI

10.1515/bpasts-2015-0068

• Języki publikacji: EN

Abstrakty

EN

In the paper we present an application of the homotopy analysis method for solving the two-phase inverse Stefan problem. In the proposed approach a series is created, having elements which satisfy some differential equation following from the investigated problem. We reveal, in the paper, that if this series is convergent then its sum determines the solution of the original equation. A sufficient condition for this convergence is formulated. Moreover, the estimation of the error of the approximate solution, obtained by taking the partial sum of the considered series, is given. Additionally, we present an example illustrating an application of the described method.

Słowa kluczowe

EN

Inverse Stefan problem; homotopy analysis method; heat transfer; solidification

PL

przepływ ciepła; krzepnięcie; homotopijna metoda analizy

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2015
• Tom: Vol. 63, nr 3
• Strony: 583--590
• Opis fizyczny: Bibliogr. 47 poz., rys., wykr.

Twórcy

autor

Hetmaniok E.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

autor

Słota D.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

autor

Wituła R.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

autor

Zielonka A.

• Institute of Mathematics, Silesian University of Technology, 23 Kaszubska St., 44-100 Gliwice, Poland

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