COMPUTERS & MATHEMATICS WITH APPLICATIONS, cilt.53, sa.8, ss.1251-1259, 2007 (SCI-Expanded)
This paper deals with the singularly perturbed initial value problem for a linear first-order delay differential equation. A numerical method is constructed for this problem which involves an appropriate piecewise-uniform mesh on each time subinterval. The difference scheme is shown to converge to the continuous solution uniformly with respect to the perturbation parameter. Numerical results are presented.