A second-order numerical method to the third order neutral Volterra integro-differential equations

Küçük Resim Yok

Tarih

2026

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

In this study, a second-order numerical method is proposed for solving a third-order neutral type Volterra integro-differential equation (NVIDE). The proposed method is based on finite difference approximations for the differential terms and a suitable quadrature rule for the integral term. The method is constructed on a uniform mesh and is shown to achieve second-order accuracy. Stability and convergence analyses are carried out under appropriate assumptions. A numerical experiment is presented to verify the efficiency, accuracy, and theoretical order of convergence of the proposed scheme.

Açıklama

Anahtar Kelimeler

[Keyword Not Available]

Kaynak

Boundary Value Problems

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

2026

Sayı

1

Künye