Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour
MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, sa.3, 2019 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 16 Sayı: 3
- Basım Tarihi: 2019
- Doi Numarası: 10.1007/s00009-019-1335-9
- Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Van Yüzüncü Yıl Üniversitesi Adresli: Evet
Özet
Difference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a linear second-order delay differential equation is examined. It is proved that it gives essentially a first-order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.