  This study concerns with singularly perturbed systems of second-order
reaction-diffusion equations in ODE's. To handle this type of problems, a
numerical-asymptotic hybrid method is employed. In this hybrid method, an
efficient asymptotic method, the so-called Successive complementary expansion
method (SCEM) is applied first and then, a numerical method based on finite
differences is proposed to approximate the solution of the corresponding
singularly perturbed reaction-diffusion systems. Two illustrative examples are
provided to show the efficiency and easy-applicability of the present method
with convergence properties.
