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Uniformly Convergent Finite Difference Schemes for Singularly Perturbed Convection Diffusion Type Delay Differential Equations

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Abstract

In this paper, uniformly convergent finite difference schemes with piecewise linear interpolation on Shishkin meshes are suggested to solve singularly perturbed boundary value problems for second order ordinary delay differential equations of convection-diffusion type. Error estimates are derived and are found to be of almost first order. Numerical results are provided to illustrate the theoretical results.

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Author notes

  1. N. Ramanujam

    Present address: Srimad Andavan Arts and Science College, Tiruchirappalli, India

Authors and Affiliations

  1. Department of Mathematics, SRM Institute of Science and Tecnology, Kattankulathur, Kancheepuram, 603203, India

    V. Subburayan

  2. Department of Mathematics, Bharathidasan University, Tiruchirappalli, 620024, India

    N. Ramanujam

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  1. V. Subburayan
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  2. N. Ramanujam
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Correspondence to V. Subburayan.

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Subburayan, V., Ramanujam, N. Uniformly Convergent Finite Difference Schemes for Singularly Perturbed Convection Diffusion Type Delay Differential Equations. Differ Equ Dyn Syst 29, 139–155 (2021). https://doi.org/10.1007/s12591-018-00451-x

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