Abstract
We study a system of coupled reaction-diffusion equations. The equations have diffusion parameters of different magnitudes associated with them. Near each boundary, their solution exhibit two overlapping layers. A central difference scheme on layer-adapted piecewise uniform meshes is used to solve the system numerically. We show that the scheme is almost second-order convergent, uniformly in both perturbation parameters, thus improving previous results [5]. We present the results of numerical experiments to confirm our theoretical results.
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AMS Subject Classifications: 65L10, 65L11.
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Linß, T., Madden, N. Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations. Computing 73, 121–133 (2004). https://doi.org/10.1007/s00607-004-0065-3
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DOI: https://doi.org/10.1007/s00607-004-0065-3