Finite Difference Method for Advanced Volterra Integro-Differential Equation with Delay
Computational Mathematics and Mathematical Physics, cilt.65, sa.4, ss.698-710, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 65 Sayı: 4
- Basım Tarihi: 2025
- Doi Numarası: 10.1134/s0965542525700149
- Dergi Adı: Computational Mathematics and Mathematical Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, ABI/INFORM, INSPEC, MathSciNet, zbMATH
- Sayfa Sayıları: ss.698-710
- Anahtar Kelimeler: advanced Volterra integro-differential equation with delay, finite difference scheme, uniform convergence, error estimate
- Kırklareli Üniversitesi Adresli: Evet
Özet
Abstract: The aim of this paper is to introduce a numerical method for advanced Volterra delay integro-differential equation with initial condition. A finite difference scheme on a uniform mesh using the trapezoidal formula is developed to numerically solve this problem. Additionally, demonstrated that this approach yields second-order convergence in the discrete maximum norm. The proposed method is validated through the presentation of numerical results.