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This paper presents two robust computational methods to solve a system of singularly perturbed weakly coupled reaction-diffusion equations having diffusion parameters with same magnitude with discontinuous source term subject to Dirichlet boundary conditions. On a piecewise-uniform Shishkin mesh, two robust numerical schemes are proposed. Difference scheme-I (DS-I) uses central difference scheme in the inner and outer regions whereas the difference scheme-II (DS-II) is a combination of adoi:10.20454/jmmnm.2015.994 fatcat:7husux2ernfvnk7kouqpwk3kfa