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A parameter uniform numerical method for singularly perturbed delay problems with discontinuous convection coefficient

V. Subburayan

Arab Journal of Mathematical Sciences · 2016

doi:10.1016/j.ajmsc.2015.07.001 (opens in a new tab)

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Abstract

In this paper a standard numerical method with piecewise linear interpolation on Shishkin mesh is suggested to solve singularly perturbed boundary value problem for second order ordinary delay differential equations with discontinuous convection coefficient and source term. An error estimate is derived by using the supremum norm and it is of almost first order convergence. Numerical results are provided to illustrate the theoretical results.

Abstract licence: CC BY-NC-ND

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