On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

Mourad Ghiat; Hamza Guebbai; Muhammet Kurulay; Sami Segni

doi:10.1007/s40314-020-01235-2

On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

Mourad Ghiat
, Hamza Guebbai^*
, Muhammet Kurulay
, Sami Segni

^*Bu çalışma için yazışmadan sorumlu yazar

University of Guelma
Yildiz Technical University

Araştırma sonucu: Dergiye katkı › Makale › bilirkişi

13 Atıf (Scopus)

Özet

In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.

Orijinal dil	İngilizce
Makale numarası	206
Dergi	Computational and Applied Mathematics
Hacim	39
Basın numarası	3
DOI'lar	https://doi.org/10.1007/s40314-020-01235-2
Yayın durumu	Yayınlandı - 1 Eyl 2020
Harici olarak yayınlandı	Evet

Bibliyografik not

Publisher Copyright:
© 2020, SBMAC - Sociedade Brasileira de Matemática Aplicada e Computacional.

Belgeye Erişim

10.1007/s40314-020-01235-2

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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title = "On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term",

abstract = "In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nystr{\"o}m method and product integration method with piecewise projection, we approximate this solution.",

keywords = "Fixed point, Integro-differential, Nonlinear equation, Product integration method, Volterra equation",

author = "Mourad Ghiat and Hamza Guebbai and Muhammet Kurulay and Sami Segni",

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doi = "10.1007/s40314-020-01235-2",

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T1 - On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

AU - Ghiat, Mourad

AU - Guebbai, Hamza

AU - Kurulay, Muhammet

AU - Segni, Sami

PY - 2020/9/1

Y1 - 2020/9/1

N2 - In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.

AB - In this article, our study deals with the existence and the uniqueness of the solution of a second degree integro-differential nonlinear Volterra equation with a weakly singular kernel, i.e., the solution depends on its speed (first derivative) and its acceleration (second derivative); whereas using Nyström method and product integration method with piecewise projection, we approximate this solution.

KW - Fixed point

KW - Integro-differential

KW - Nonlinear equation

KW - Product integration method

KW - Volterra equation

UR - https://www.scopus.com/pages/publications/85087725785

U2 - 10.1007/s40314-020-01235-2

DO - 10.1007/s40314-020-01235-2

M3 - Article

AN - SCOPUS:85087725785

SN - 2238-3603

VL - 39

JO - Computational and Applied Mathematics

JF - Computational and Applied Mathematics

IS - 3

M1 - 206

ER -

On the weakly singular integro-differential nonlinear Volterra equation depending in acceleration term

Özet

Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

Parmak izi

Alıntı Yap