Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour

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Çimen E., Amiraliyev G. M.

MEDITERRANEAN JOURNAL OF MATHEMATICS, vol.16, no.3, 2019 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 16 Issue: 3
• Publication Date: 2019
• Doi Number: 10.1007/s00009-019-1335-9
• Journal Name: MEDITERRANEAN JOURNAL OF MATHEMATICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Van Yüzüncü Yıl University Affiliated: Yes

Abstract

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.