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A numerical treatment for singularly perturbed differential equations with integral boundary conditionAmiraliyev, G.M.Amiraliyeva, I.G.Kudu, MustafaError estimatesFinite differenceIntegral boundary conditionShishkin meshSingular perturbationBoundary conditionsBoundary value problemsComputational complexityDifferential equationsIntegral equationsPerturbation techniquesIntegral boundary conditionsNumerical methodsWe consider a uniform finite difference method on Shishkin mesh for a quasilinear first order singularly perturbed boundary value problem (BVP) with integral boundary condition. We prove that the method is first order convergent except for a logarithmic factor, in the discrete maximum norm, independently of the perturbation parameter. The parameter uniform convergence is confirmed by numerical computations. © 2006 Elsevier Inc. All rights reserved.2007Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/16152https://doi.org/10.1016/j.amc.2006.07.0600096-3003enApplied Mathematics and Computationinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/16152