Uniform numerical method for singularly perturbed delay differential equations

Authors:
G. M. Amiraliyev;F. Erdogan
Affiliations:
Yuzuncuyil University, Faculty of Sciences, Department of Mathematics, 65080, Van, Turkey;Yuzuncuyil University, Faculty of Sciences, Department of Mathematics, 65080, Van, Turkey
Venue:
Computers & Mathematics with Applications
Year:
2007

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Abstract

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.