Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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HYBRID DIFFERENCE SCHEMES FOR A SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS

  • Priyadharshini, R.Mythili (Department of Mathematics, School of Mathematics and Computer Science, Bharathidasn University) ;
  • Ramanujam, N. (Department of Mathematics, School of Mathematics and Computer Science, Bharathidasn University) ;
  • Tamilselvan, A. (Department of Mathematics, School of Mathematics and Computer Science, Bharathidasn University)
  • Published : 2009.09.30
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Abstract

In this paper, two hybrid difference schemes on the Shishkin mesh are constructed for solving a weakly coupled system of two singularly perturbed convection-diffusion second order ordinary differential equations with a small parameter multiplying the highest derivative. We prove that the schemes are almost second order convergence in the supremum norm independent of the diffusion parameter. Error bounds for the numerical solution and its derivative are established. Numerical results are provided to illustrate the theoretical results.

Keywords

References

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