Numerical solutions for second-order neutral volterra integro-differential equations: Stability analysis and finite difference method
Journal of Computational and Applied Mathematics, cilt.459, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 459
- Basım Tarihi: 2025
- Doi Numarası: 10.1016/j.cam.2024.116371
- Dergi Adı: Journal of Computational and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Compendex, INSPEC, MathSciNet, zbMATH
- Anahtar Kelimeler: Neutral Volterra integro-differential equation, Finite difference scheme, Uniform convergence, Error analysis
- Kırklareli Üniversitesi Adresli: Evet
Özet
This work deals with the initial-value problem for a second-order neutral Volterra integro-differential 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.