Abstract
In this paper an initial value problem for a coupled system of two singularly perturbed first-order delay differential equations is considered on the interval (0,2]. The components of the solution of this system exhibit initial layers at 0 and interior layers at 1. A numerical method composed of a classical finite difference scheme on a piecewise uniform Shishkin mesh is suggested. This method is proved to be first-order convergent in the maximum norm uniformly in the perturbation parameters. A numerical illustration is provided to support the theory.
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Acknowledgement
The first author wishes to acknowledge the financial support extended under the “INSPIRE” fellowship by the Department of Science and Technology, Government of India.
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Nagarajan, S., Narasimhan, R., Miller, J.J.H., Sigamani, V. (2014). A Parameter Uniform Method for an Initial Value Problem for a System of Singularly Perturbed Delay Differential Equations. In: Ansari, A. (eds) Advances in Applied Mathematics. Springer Proceedings in Mathematics & Statistics, vol 87. Springer, Cham. https://doi.org/10.1007/978-3-319-06923-4_12
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DOI: https://doi.org/10.1007/978-3-319-06923-4_12
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