A NUMERICAL APPROACH FOR SOLVING VOLTERRA DELAY INTEGRO-DIFFERENTIAL EQUATION

Amirali I., Durmaz M. E., Amiraliyev G. M.

Miskolc Mathematical Notes, cilt.25, sa.2, ss.553-561, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 2
  • Basım Tarihi: 2024
  • Doi Numarası: 10.18514/mmn.2024.4562
  • Dergi Adı: Miskolc Mathematical Notes
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, zbMATH
  • Sayfa Sayıları: ss.553-561
  • Anahtar Kelimeler: error estimate, finite difference, uniform convergence, Volterra delay integro-differential equation
  • Erzincan Binali Yıldırım Üniversitesi Adresli: Evet

Özet

In this paper, we propose a finite difference technique for approximating solutions of first-order Volterra delay integro-differential equation. The presented numerical method acquires a second-order convergence in discrete maximum norm. The derived results are numerically validated in test problems to support the theoretical analysis.