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

Authors :
Subburayan, V.
Ramanujam, N.
Source :
Differential Equations & Dynamical Systems; Jan2021, Vol. 29 Issue 1, p139-155, 17p
Publication Year :
2021

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09713514
Volume :
29
Issue :
1
Database :
Complementary Index
Journal :
Differential Equations & Dynamical Systems
Publication Type :
Academic Journal
Accession number :
148782765
Full Text :
https://doi.org/10.1007/s12591-018-00451-x