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

  • V. SubburayanEmail author
  • N. Ramanujam
Original Research
  • 38 Downloads

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.

Keywords

Singularly perturbed problem Convection-diffusion problem Delay differential equations Shishkin mesh 

Mathematics Subject Classification

34K10 34K26 34K28 

Notes

References

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Copyright information

© Foundation for Scientific Research and Technological Innovation 2019

Authors and Affiliations

  1. 1.Department of MathematicsSRM Institute of Science and TecnologyKancheepuramIndia
  2. 2.Department of MathematicsBharathidasan UniversityTiruchirappalliIndia
  3. 3.Srimad Andavan Arts and Science CollegeTiruchirappalliIndia

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