Accurate Solution of a System of Coupled Singularly Perturbed Reaction-diffusion Equations
- 142 Downloads
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.
KeywordsReaction diffusion singular perturbation solution decomposition Shishkin mesh
Unable to display preview. Download preview PDF.