Temel, Z.Cakir, M.2025-06-012025-06-0120252147-625X2-s2.0-105005447868https://hdl.handle.net/20.500.14720/25098We investigate an innovative numerical method for solving linear singularly perturbed problems with integral boundary conditions. Firstly, proving a uniformly convergent numerical method for solving the singularly perturbed problem is the main goal of this problem. Secondly, a piecewise equidistant mesh is used to generate the finite difference scheme. Next, the difference technique’s stability and convergence analysis are covered. Lastly, two test instances’ numerical results are shown. © 2025, Prof. Dr. Mehmet Zeki SARIKAYA. All rights reserved.eninfo:eu-repo/semantics/closedAccessIntegral BoundaryLinear Singularly Perturbed ProblemNon-Uniform MeshNumerical MethodArticle131N/AN/A5059