University of Guilan Journal of Mathematical Modeling 2345-394X 11 2 2023 07 01 Robust computational technique for a class of singularly perturbed nonlinear differential equations with Robin boundary conditions 411 423 6648 10.22124/jmm.2023.23515.2100 EN Manikandan Mariappan Department of Mathematics, School of Engineering, Presidency University, Bengaluru - 560 064, Karnataka, India Ishwariya Rosey Department of Science and Humanities, Amrita School of Engineering, Amrita Vishwa Vidyapeetham, Chennai-601103, Tamil Nadu, India Journal Article 2022 12 28 In this article, a class of singularly perturbed nonlinear differential equations with Robin boundary conditions is considered. A numerical method consists of the classical finite difference operator over a Shishkin mesh with two-mesh algorithm is constructed to solve the problems. The method is proved to be first order convergent uniformly with respect to the perturbation parameter. Experiments are carried out for two different types of Robin boundary conditions and Neumann boundary conditions as a special case of Robin boundary conditions. Singular perturbation problems Robin boundary conditions Nonlinear differential equations finite difference scheme Shishkin mesh parameter-uniform convergence https://jmm.guilan.ac.ir/article_6648_6637163a609988f483a4aadd7287ee4e.pdf