Application of the homotopy perturbation method for the systems of Fredholm integral equations

• Autorzy: Hetmaniok E. , Słota D. , Wróbel A. , Zielonka A.

Warianty tytułu

PL

Zastosowanie homotopijnej metody perturbacyjnej do układów równań całkowych typu Fredholma

• Języki publikacji: EN

Abstrakty

EN

In this paper the convergence of homotopy perturbation method for the systems of Fredholm integral equations of the second kind is proved. Estimation of errors of approximate solutions obtained by taking the partial sum of the series is also elaborated in the paper.

PL

W artykule wykazano zbieżność homotopijnej metody perturbacyjnej dla układów równań całkowych Fredholma drugiego rodzaju. Podano także oszacowanie błędu rozwiązania przybliżonego uzyskanego jako suma częściowa tworzonego w metodzie szeregu.

Słowa kluczowe

EN

homotopy perturbation method; convergence; error estimation; integral equation

PL

homotopijna metoda perturbacyjna; konwergencja; szacowanie błędu; równanie całkowe

• Wydawca: Wydawnictwo Politechniki Śląskiej
• Czasopismo: Zeszyty Naukowe. Matematyka Stosowana / Politechnika Śląska
• Rocznik: 2015
• Tom: z. 5
• Strony: 61--70
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Hetmaniok E.

• Institute of Mathematics Silesian University of Technology

autor

Słota D.

• Institute of Mathematics Silesian University of Technology

autor

Wróbel A.

• Faculty of Applied Mathematics Silesian University of Technology

autor

Zielonka A.

• Institute of Mathematics Silesian University of Technology

Bibliografia

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