Numerical solution of first-order neutral Volterra-Fredholm integro-differential equations
Journal of Computational and Applied Mathematics, cilt.492, 2027 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 492
- Basım Tarihi: 2027
- Doi Numarası: 10.1016/j.cam.2026.118150
- Dergi Adı: Journal of Computational and Applied Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Applied Science & Technology Source, Compendex, INSPEC, MathSciNet, zbMATH, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
- Anahtar Kelimeler: Error analysis, Finite difference scheme, Neutral Volterra Fredholm integro-differential equation, Uniform convergence
- Kırklareli Üniversitesi Adresli: Evet
Özet
The objective of this paper is the numerical solution of the neutral first-order Volterra-Fredholm integro-differential equation. The approximate method comprises the finite difference scheme on uniform mesh with central differences at midpoints for derivatives. By using the difference analogue of Gronwall's inequality, the error analysis is carried out, and it is shown that the approximate solution is second-order convergent in discrete maximum norm. Numerical results confirm the theoretical findings.