Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour

Çimen E., Amiraliyev G. M.

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


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.