Bernstein approximation technique for numerical solution of Volterra integral equations of the third kind

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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

Künye