Abstract
Two point Singularly Perturbed Weakly Coupled System of Convection-Reaction-Diffusion Problems(WCSCRDPs), having small parameters (ε1, ε2) multiplying the highest derivative (diffusion) and the next highest derivative (convection) term with discontinuity over the source term is studied. Generally, for adequately small values of the perturbation parameters, the exact solution involves boundary and interior layers. Hence, the analysis of the problem splits into two cases, in accordance with the ratio of the convection and diffusion parameters. The continuous bounds of the solution and its derivatives are derived. A numerical method which is parameter uniform is constructed, on a suitably fitted piecewise uniform Shishkin mesh. The error estimation analysis is discussed and the numerical method applied here exhibits almost first order convergence. Numerical examples and the corresponding tables and figures demonstrate the efficiency of the numerical scheme.
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