Cengizci, SuleymanNatesan, SrinivasanAtay, Mehmet Tank2020-02-032020-02-0320191300-00981303-614910.3906/mat-1807-195https://hdl.handle.net/20.500.12573/104This article focuses on the numerical approximate solution of singularly perturbed systems of second-order reaction-diffusion two-point boundary-value problems for ordinary differential equations. To handle these types of problems, a numerical-asymptotic hybrid method has been used. In this hybrid approach, an efficient asymptotic method, the so-called successive complementary expansion method (SCEM) is employed first, and then a numerical method based on finite differences is applied to approximate the solution of corresponding singularly perturbed reaction-diffusion systems. Two illustrative examples are provided to demonstrate the efficiency, robustness, and easy applicability of the present method with convergence properties.enginfo:eu-repo/semantics/openAccessSingular perturbation problemsreaction-diffusion equationsasymptotic approximationsboundary layersfinite difference methodarticle10.3906/mat-1807-195