A Robust Numerical Method for a Singularly Perturbed Fredholm Integro-Differential Equation
Mediterranean Journal of Mathematics, cilt.18, sa.1, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 18 Sayı: 1
- Basım Tarihi: 2021
- Doi Numarası: 10.1007/s00009-020-01693-2
- Dergi Adı: Mediterranean Journal of Mathematics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH, DIALNET
- Anahtar Kelimeler: Fredholm integro-differential equation, singular perturbation, finite difference, Shishkin mesh, uniform convergence, 65L11, 65L12, 65L20, 65R20, 45J05
- Kırklareli Üniversitesi Adresli: Evet
Özet
In this paper, we deal with a fitted second-order homogeneous (non-hybrid) type difference scheme for solving the singularly perturbed linear second-order Fredholm integro-differential equation. The numerical method represents the exponentially fitted scheme on the Shishkin mesh. Numerical example is presented to demonstrate efficiency of proposed method.