Journal of the Korean Society for Industrial and Applied Mathematics

Korean Society for Industrial and Applied Mathematics (한국산업응용수학회)
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FINITE DIFFERENCE SCHEME FOR SINGULARLY PERTURBED SYSTEM OF DELAY DIFFERENTIAL EQUATIONS WITH INTEGRAL BOUNDARY CONDITIONS

  • SEKAR, E. (DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY TIRUCHIRAPPALLI) ;
  • TAMILSELVAN, A. (DEPARTMENT OF MATHEMATICS, BHARATHIDASAN UNIVERSITY TIRUCHIRAPPALLI)
  • Received : 2018.05.21
  • Accepted : 2018.08.28
  • Published : 2018.09.25
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Abstract

In this paper we consider a class of singularly perturbed system of delay differential equations of convection diffusion type with integral boundary conditions. A finite difference scheme on 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 maximum norm. Numerical experiments support our theoretical results.

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References

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