Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour


Çimen E. , Amiraliyev G. M.

MEDITERRANEAN JOURNAL OF MATHEMATICS, cilt.16, 2019 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 16 Konu: 3
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1007/s00009-019-1335-9
  • Dergi Adı: MEDITERRANEAN JOURNAL OF MATHEMATICS

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.