On the second-order neutral Volterra integro-differential equation and its numerical solution
Küçük Resim Yok
Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier Science Inc
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we consider an initial-value problem for a second-order neutral Volterra integrodifferential equation. First, we give the stability inequality indicating the stability of the problem with respect to the right -side and initial conditions. Further, we develop a finite difference method that uses for differential part second difference derivative, for the integral part appropriate composite trapezoidal and midpoint rectangle rules followed by second-order accurate difference quantities at intermediate points. Error estimate for the approximate solution is established, which shows the second-order accuracy. Finally, the numerical experiments are presented confirming the accuracy of the proposed scheme.
Açıklama
Anahtar Kelimeler
Neutal Volterra integro-differential equation, Stability bound, Difference scheme, Error analysis, Convergence Analysis, Multipoint Problems, Collocation Method
Kaynak
Applied Mathematics and Computation
WoS Q Değeri
N/A
Scopus Q Değeri
Q1
Cilt
476
