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Numerical Experiments with a Shishkin Numerical Method for a Singularly Perturbed Quasilinear Parabolic Problem with an Interior Layer

  • E. O’ Riordan
  • J. Quinn
Part of the Lecture Notes in Computer Science book series (LNCS, volume 8236)

Abstract

In Russ. Acad. Dokl. Math., 48, 1994, 346–352, Shishkin presented a numerical algorithm for a quasilinear time dependent singularly perturbed differential equation, with an internal layer in the solution. In this paper, we implement this method and present numerical results to illustrate the convergence properties of this numerical method.

Keywords

Singularly Perturbed Shishkin mesh Interior Turning Point 

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References

  1. 1.
    Shishkin, G.I.: Difference approximation of the Dirichlet problem for a singularly perturbed quasilinear parabolic equation in the presence of a transition layer. Russian Acad. Sci. Dokl. Math. 48(2), 346–352 (1994)MathSciNetGoogle Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • E. O’ Riordan
    • 1
  • J. Quinn
    • 1
  1. 1.School of Mathematical SciencesDublin City UniversityDublinIreland

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