Affiliation:
1. Department of Mathematics, Faculty of Science , Van Yuzuncu Yil University , Van Turkey
Abstract
Abstract
The purpose of this paper is to present a uniform finite difference method for numerical solution of a initial value problem for semilinear second order singularly perturbed delay differential equation. A numerical method is constructed for this problem which involves appropriate piecewise-uniform Shishkin mesh on each time subinterval. The method is shown to uniformly convergent with respect to the perturbation parameter. A numerical experiment illustrate in practice the result of convergence proved theoretically.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
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