Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations
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- Linß, T. & Madden, N. Computing (2004) 73: 121. doi:10.1007/s00607-004-0065-3
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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 . We present the results of numerical experiments to confirm our theoretical results.