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Finite difference scheme for third order singularly perturbed delay differential equation of convection diffusion type with integral boundary condition

  • Elango Sekar
  • Ayyadurai TamilselvanEmail author
Original Research
  • 24 Downloads

Abstract

A class of third order singularly perturbed delay differential equations of convection diffusion type with integral boundary condition is considered. A numerical method based on a finite difference scheme on a Shishkin mesh is presented. The method suggested is almost first order convergent. An error estimate is derived in the discrete norm. Numerical examples are presented, which validate the theoretical estimates.

Keywords

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

Mathematics Subject Classifications

65L11 65L12 65L20 

Notes

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Copyright information

© Korean Society for Computational and Applied Mathematics 2019

Authors and Affiliations

  1. 1.Department of MathematicsBharathidasan UniversityTiruchirappalliIndia

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