Cakir, MusaCimen, ErkanAmiraliyev, Gabil M.2025-05-102025-05-1020200363-16721573-882510.1007/s10986-020-09471-z2-s2.0-85079437610https://doi.org/10.1007/s10986-020-09471-zhttps://hdl.handle.net/20.500.14720/5953In this paper, we propose and analyze numerical treatment for a singularly perturbed convection-diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been estimated. Then we construct a finite difference scheme on a uniform mesh. We prove the uniform convergence of the proposed difference scheme and give an error estimate. We also present numerical examples, which demonstrate computational efficiency of the proposed method.eninfo:eu-repo/semantics/closedAccessSingular PerturbationBoundary Value ProblemExponentially Fitted Difference SchemeUniformly ConvergenceNonlocal ConditionThe Difference Schemes for Solving Singularly Perturbed Three-Point Boundary Value ProblemArticle602Q4Q3147160WOS:000516035800002