Bernstein operator method for approximate solution of singularly perturbed Volterra integral equations
Yükleniyor...
Dosyalar
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Academic Press Inc.
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
An approximate solution of integral equations takes an active role in the numerical analysis. This paper presents and tests an algorithm for the approximate solution of singularly perturbed Volterra integral equations via the Bernstein approximation technique. The method of computing the numerical approximation of the solution is properly demonstrated and exemplified in the matrix notation. Besides, the error bound and convergence associated with the numerical scheme are constituted. Finally, particular examples indicate the dependability and numerical capability of the introduced scheme in comparison with other numerical techniques. © 2021 Elsevier Inc.
Açıklama
Anahtar Kelimeler
Asymptotics, Bernstein's approximation, Convergence analysis, Numerical method, Singularly perturbed integral equation
Kaynak
Journal of Mathematical Analysis and Applications
WoS Q Değeri
Q2
Scopus Q Değeri
N/A
Cilt
507
Sayı
2
