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A Schwarz technique for a system of reaction diffusion equations with differing parameters. (English) Zbl 1181.65107
Hegarty, Alan F. (ed.) et al., BAIL 2008 – Boundary and interior layers. Proceedings of the international conference on boundary and interior layers – computational and asymptotic methods, Limerick, Ireland, July 28–August 1, 2008. Berlin: Springer (ISBN 978-3-642-00604-3/pbk; 978-3-642-00605-0/ebook). Lecture Notes in Computational Science and Engineering 69, 247-255 (2009).
Summary: We describe an overlapping Schwarz method for a coupled system of two singularly perturbed reaction-diffusion equations which may have differing perturbation parameters. We give an outline of the analysis that shows algorithm is parameter-uniform. Supporting numerical results are presented.
For the entire collection see [Zbl 1167.35002].

MSC:
65L10 Numerical solution of boundary value problems involving ordinary differential equations
34B05 Linear boundary value problems for ordinary differential equations
34E15 Singular perturbations, general theory for ordinary differential equations
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