Cakir, M.Amiraliyev, G. M.2025-05-102025-05-1020070020-716010.1080/002071607012964622-s2.0-34848865658https://doi.org/10.1080/00207160701296462https://hdl.handle.net/20.500.14720/6815We consider a uniform finite difference method on an S-mesh (Shishkin type mesh) for a singularly perturbed semilinear one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. We show that the method is first-order convergent in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. An effective iterative algorithm for solving the non-linear difference problem and some numerical results are presented.eninfo:eu-repo/semantics/closedAccessFinite DifferenceSingular PerturbationShishkin MeshNon-Local Boundary ConditionArticle8410Q2Q314651481WOS:000249612400005