Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind
Yükleniyor...
Dosyalar
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer Heidelberg
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
We propose a numerical scheme based upon the Bernstein approximation method for computational solution of a new class of Volterra integral equations of the third kind (3rdVIEs). Construction of the technique and its practicality for proposed equations have been introduced. Furthermore we have examined the numerability and convergence analysis of the proposed scheme. Finally, we demonstrate a series of numerical examples demonstrating the effectiveness of this new technique for solving 3rdVIEs.
Açıklama
Anahtar Kelimeler
Bernstein approximation, Volterra integral equations of the third kind, Convergence order, Collocation Methods
Kaynak
Computational & Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q2
Cilt
40
Sayı
5