A new iteration method for the solution of third-order BVP via Green's function

• Autorzy: Akgun Fatma Aydın , Rasulov Zaur

Identyfikatory

DOI

10.1515/dema-2021-0031

• Języki publikacji: EN

Abstrakty

EN

In this study, a new iterative method for third-order boundary value problems based on embedding Green’s function is introduced. The existence and uniqueness theorems are established, and necessary conditions are derived for convergence. The accuracy, efficiency and applicability of the results are demonstrated by comparing with the exact results and existing methods. The results of this paper extend and generalize the corresponding results in the literature.

Słowa kluczowe

EN

boundary value problem at resonance; fixed point iteration method; Green’s function; integral operator; rate of convergence

PL

zagadnienie brzegowe; metoda punktu stałego; funkcja Greena; operator całkowy; promień zbieżności

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2021
• Tom: Vol. 54, nr 1
• Strony: 425--435
• Opis fizyczny: Bibliogr. 28 poz., rys., tab.

Twórcy

autor

Akgun Fatma Aydın

• Mathematical Engineering Department, Yildiz Technical University, 34210, Istanbul, Turkey

autor

Rasulov Zaur

• Mathematical Engineering Department, Yildiz Technical University, 34210, Istanbul, Turkey

Bibliografia

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Uwagi

PL

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).