Details

Autor(en) / Beteiligte

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

Titel

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

Ist Teil von

• Bulletin of the Polish Academy of Sciences. Technical sciences, 2015-09, Vol.63 (3), p.583-590

Ort / Verlag

Warsaw: De Gruyter Open

Erscheinungsjahr

2015

Link zum Volltext

Quelle

EZB Electronic Journals Library

Beschreibungen/Notizen

• 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.