Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour

  • Erkan CimenEmail author
  • Gabil M. Amiraliyev


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.


Singular perturbation boundary-value problem delay differential equation uniform convergence Shishkin mesh 

Mathematics Subject Classification

Primary 34K10 34K26 Secondary 65L11 65L12 65L20 



We thank the editor(s) and the referee(s) for their favourable comments.


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Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of EducationVan Yuzuncu Yil UniversityVanTurkey
  2. 2.Department of Mathematics, Faculty of Arts and SciencesErzincan Binali Yıldırım UniversityErzincanTurkey

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