Autor: Zielonka, R. - Katalog OPAC zbiorów

Skocz do pozycji: 1.

Tytuł:: Some generalizations of Gregorys power series and their applications
Autorzy:: Gawrońska, N.
Słota, D.
Wituła, R.
Zielonka, A.
Powiązania:: https://bibliotekanauki.pl/articles/122534.pdf
Data publikacji:: 2013
Wydawca:: Politechnika Częstochowska. Wydawnictwo Politechniki Częstochowskiej
Tematy:: Gregory’s series
Gregory-Leibniz-Nilakantha formula
Opis:: The series representing the generalizations of classical James Gregory's series are discussed in this paper. Formulae describing sums of these series are found. A number of applications of obtained formulae are also presented, among others, in receiving the generalizations of Gregory-Leibniz-Nilakantha formula. Moreover, the sums of series of differences of odd harmonic numbers are generated.
Źródło:: Journal of Applied Mathematics and Computational Mechanics; 2013, 12, 3; 79-91
2299-9965
Pojawia się w:: Journal of Applied Mathematics and Computational Mechanics
Dostawca treści:: Biblioteka Nauki

Artykuł

Skocz do pozycji: 2.

Tytuł:: An analytical method for solving the two-phase inverse Stefan problem
Autorzy:: Hetmaniok, E.
Słota, D.
Wituła, R.
Zielonka, A.
Powiązania:: https://bibliotekanauki.pl/articles/200444.pdf
Data publikacji:: 2015
Wydawca:: Polska Akademia Nauk. Czytelnia Czasopism PAN
Tematy:: Inverse Stefan problem
homotopy analysis method
heat transfer
solidification
przepływ ciepła
krzepnięcie
homotopijna metoda analizy
Opis:: 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.
Źródło:: Bulletin of the Polish Academy of Sciences. Technical Sciences; 2015, 63, 3; 583-590
0239-7528
Pojawia się w:: Bulletin of the Polish Academy of Sciences. Technical Sciences
Dostawca treści:: Biblioteka Nauki

Artykuł

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