Cimen, Erkan2025-05-102025-05-1020181392-62921648-351010.3846/mma.2018.0342-s2.0-85055260895https://doi.org/10.3846/mma.2018.034https://hdl.handle.net/20.500.14720/7639Cimen, Erkan/0000-0002-7258-192XDifference method on a piecewise uniform mesh of Shishkin type, for a singularly perturbed boundary-value problem for a nonlinear second order delay differential equation is analyzed. Also, the method is proved that it gives essentially first order parameter-uniform convergence in the discrete maximum norm. Furthermore, numerical results are presented in support of the theory.eninfo:eu-repo/semantics/openAccessSingular PerturbationBoundary-Value ProblemFinite Difference MethodDelay Differential EquationShishkin MeshArticle234Q1Q3568581WOS:000453070000004