University of Guilan Journal of Mathematical Modeling 2345-394X 13 4 2025 12 01 Non-standard finite difference scheme for system of singularly perturbed Fredholm integro-differential equations 865 882 8863 10.22124/jmm.2025.30538.2740 EN P. Antony Prince Department of Mathematics, Amrita School of Physical Science, Coimbatore, Amrita Vishwa Vidyapeetham, India Lolugu Govindarao Department of Mathematics, Amrita School of Physical Science, Coimbatore, Amrita Vishwa Vidyapeetham, India Sekar Elango Department of Mathematics, Amrita School of Physical Science, Coimbatore, Amrita Vishwa Vidyapeetham, India Journal Article 2025 04 29 This article solves computationally a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations. A non-standard finite difference approach applies the derivative components, whereas the composite trapezoidal rule handles the integral components. The proposed computational method for a system of reaction-diffusion singularly perturbed Fredholm integro-differential equations exhibits a convergence rate of order two. An computational example is provided to substantiate the efficacy of the theoretical results. Singular perturbation coupled system fitted operator Fredholm integral boundary layer https://jmm.guilan.ac.ir/article_8863_86ab3b720cff00ed218f6e70854ad492.pdf