Cakir, Musa2025-05-102025-05-1020101687-184710.1155/2010/1024842-s2.0-78650733190https://doi.org/10.1155/2010/102484https://hdl.handle.net/20.500.14720/1078We consider a singularly perturbed one-dimensional convection-diffusion three-point boundary value problem with zeroth-order reduced equation. The monotone operator is combined with the piecewise uniform Shishkin-type meshes. We show that the scheme is second-order convergent, in the discrete maximum norm, independently of the perturbation parameter except for a logarithmic factor. Numerical examples support the theoretical results.eninfo:eu-repo/semantics/openAccessArticle