Solving of the two-dimensional unsteady heat transfer problem by using the homotopy analysis method

• Autorzy: Brociek R. , Hetmaniok E. , Matlak J. , Słota D.

Warianty tytułu

PL

Rozwiązywanie dwuwymiarowego niestacjonarnego zagadnienia przewodzenia ciepła przy wykorzystaniu homotopijnej metody analizy

• Języki publikacji: EN

Abstrakty

EN

In this paper a solution of the two-dimensional unsteady heat transfer problem by using the homotopy analysis method is described. In presented method the functional series is generated. This paper contains the sufficient condition for convergence of this series. We also give the estimation of error of the approximate solution obtained by taking the partial sum of received series.

PL

W artykule opisano rozwiązanie dwuwymiarowego niestacjonarnego zagadnienia przewodzenia ciepła przy wykorzystaniu homotopijnej metody analizy. W metodzie tej tworzony jest szereg funkcyjny. Podano warunek wystarczający zbieżności tego szeregu, a także oszacowanie błędu rozwiązania przybliżonego, które uzyskujemy, biorąc sumę częściową szeregu.

Słowa kluczowe

EN

heat conductivity; homotopy analysis method

PL

przewodzenie ciepła; homotopijna metoda analizy

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
• Rocznik: 2014
• Tom: z. 4
• Strony: 89--102
• Opis fizyczny: Bibliogr. 28 poz.

Twórcy

autor

Brociek R.

• Institute of Mathematics. Silesian University of Technology

autor

Hetmaniok E.

• Institute of Mathematics. Silesian University of Technology

autor

Matlak J.

• Institute of Mathematics. Silesian University of Technology

autor

Słota D.

• Institute of Mathematics. Silesian University of Technology

Bibliografia

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