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A coupled system of singularly perturbed parabolic reaction-diffusion equations

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Abstract

In this paper systems with an arbitrary number of singularly perturbed parabolic reaction-diffusion equations are examined. A numerical method is constructed for these systems which involves an appropriate layer-adapted piecewise-uniform mesh. The numerical approximations generated from this method are shown to be uniformly convergent with respect to the singular perturbation parameters. Numerical experiments supporting the theoretical results are given.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain

    J. L. Gracia & F. J. Lisbona

  2. School of Mathematical Sciences, Dublin City University, Dublin 9, Ireland

    E. O’Riordan

Authors
  1. J. L. Gracia
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  2. F. J. Lisbona
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  3. E. O’Riordan
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Corresponding author

Correspondence to J. L. Gracia.

Additional information

Communicated by Martin Stynes.

This research was partially supported by a grant from EUROPA XXI of the Caja de Ahorros de la Inmaculada and the project of the University of Zaragoza UZ2006-CIE-09.

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Gracia, J.L., Lisbona, F.J. & O’Riordan, E. A coupled system of singularly perturbed parabolic reaction-diffusion equations. Adv Comput Math 32, 43 (2010). https://doi.org/10.1007/s10444-008-9086-3

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  • DOI: https://doi.org/10.1007/s10444-008-9086-3

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