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Journal of Applied Mathematics and Computing

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15-06-2018 | Original Research

Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition

Authors: E. Sekar, A. Tamilselvan

Published in: Journal of Applied Mathematics and Computing | Issue 1-2/2019

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Abstract

In this paper we consider a class of singularly perturbed delay differential equations of convection diffusion type with integral boundary condition. A finite difference scheme with an appropriate piecewise Shishkin type mesh is suggested to solve the problem. We prove that the method is of almost first order convergent. An error estimate is derived in the discrete norm. Numerical experiments support our theoretical results.

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Title: Singularly perturbed delay differential equations of convection–diffusion type with integral boundary condition
Authors: E. Sekar
A. Tamilselvan
Publication date: 15-06-2018
Publisher: Springer Berlin Heidelberg
Published in: Journal of Applied Mathematics and Computing / Issue 1-2/2019
Print ISSN: 1598-5865
Electronic ISSN: 1865-2085
DOI: https://doi.org/10.1007/s12190-018-1198-4

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