Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method
Küçük Resim Yok
Tarih
2025
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Elsevier
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This work deals with the initial-value problem for a second-order neutral Volterra integrodifferential equation. First, we give the stability inequality indicating 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. In support of theoretical results, numerical results are performed by employing the proposed numerical technique.
Açıklama
Anahtar Kelimeler
Neutral Volterra integro-differential equation, Finite difference scheme, Uniform convergence, Error analysis
Kaynak
Journal of Computationaland Applied Mathematics
WoS Q Değeri
Q1
Scopus Q Değeri
Q1
Cilt
459
