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Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour

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Abstract

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.

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We thank the editor(s) and the referee(s) for their favourable comments.

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Correspondence to Erkan Cimen.

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Cimen, E., Amiraliyev, G.M. Uniform Convergence Method for a Delay Differential Problem with Layer Behaviour. Mediterr. J. Math. 16, 57 (2019). https://doi.org/10.1007/s00009-019-1335-9

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  • DOI: https://doi.org/10.1007/s00009-019-1335-9

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