An adapted integration method for Volterra integral equation of the second kind with weakly singular kernel

• Autorzy: Nemer, Ahlem , Kaboul, Hanane , Mokhtari, Zouhir
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider general cases of linear Volterra integral equations under minimal assumptions on their weakly singular kernels and introduce a new product integration method in which we involve the linear interpolation to get a better approximate solution, figure out its effect and also we provide a convergence proof. Furthermore, we apply our method to a numerical example and conclude this paper by adding a conclusion

Słowa kluczowe

EN

Volterra integral equation; product integration method; linear equation

• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 2
• Strony: 289--297
• Opis fizyczny: Bibliogr. 50 poz.

Twórcy

autor

Nemer, Ahlem

• Laboratoire de Mathématiques Appliquées, University of Biskra, BP 145 RP, Biskra 07000, Algeria,

autor

Kaboul, Hanane

• Laboratoire de Mathématiques Appliquées, University of Biskra, BP 145 RP, Biskra 07000, Algeria,

autor

Mokhtari, Zouhir

• Laboratoire de Mathématiques Appliquées, University of Biskra, BP 145 RP, Biskra 07000, Algeria,

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Uwagi

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

Identyfikatory

DOI

10.1515/jaa-2021-2055