Amiraliyev, GMDuru, H2025-05-102025-05-1020050377-04271879-177810.1016/j.cam.2004.11.0472-s2.0-19644389078https://doi.org/10.1016/j.cam.2004.11.047https://hdl.handle.net/20.500.14720/16300Amiraliyev, Gabil M./0000-0001-6585-7353We consider a uniform finite difference method on Shishkin mesh for a quasilinear first-order singularly perturbed boundary value problem (BVP) depending on a parameter. We prove that the method is first-order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. Numerical experiments support these theoretical results. (c) 2004 Elsevier B.V All rights reserved.eninfo:eu-repo/semantics/openAccessParameterized ProblemSingular PerturbationUniform ConvergenceFinite Difference SchemeShishkin MeshArticle