A fully discrete scheme on piecewise-equidistant mesh for singularly perturbed delay integro-differential equations
Quaestiones Mathematicae, cilt.47, sa.9, ss.1913-1933, 2024 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 47 Sayı: 9
- Basım Tarihi: 2024
- Doi Numarası: 10.2989/16073606.2024.2343669
- Dergi Adı: Quaestiones Mathematicae
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
- Sayfa Sayıları: ss.1913-1933
- Anahtar Kelimeler: Delay differential equation, difference scheme, integro-differential equation, singular perturbation, uniform convergence
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
Abstract.: This paper chiefly takes into account the singularly perturbed delay Volterra-Fredholm integro-differential equations by numerically. In this context, firstly, priori estimates are given and a new discretization is constructed on piecewise-equidistant mesh by using interpolating quadrature rules [2] and composite integration formulas. Then, the convergence analysis and stability bounds of the presented method are discussed. Finally, numerical results are demonstrated with two test problems.