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Journal of Applied Mathematics and Computing

, Volume 59, Issue 1–2, pp 701–722 | Cite as

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

  • E. Sekar
  • A. TamilselvanEmail author
Original Research
  • 201 Downloads

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.

Keywords

Singularly perturbed problems Delay differential equation Finite difference scheme Shishkin mesh Integral boundary condition 

Mathematics Subject Classification

65L11 65L12 65L20 

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Copyright information

© Korean Society for Computational and Applied Mathematics 2018

Authors and Affiliations

  1. 1.Department of MathematicsBharathidasan UniversityTiruchirappalliIndia

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