Kudu, MustafaAmirali, IlhameAmiraliyev, Gabil M.2021-12-012021-12-0120211660-54461660-5454https://doi.org/10.1007/s00009-021-01758-whttps://hdl.handle.net/20.500.12684/10450In this paper, the homogeneous type fitted difference scheme for solving singularly perturbed problem depending on a parameter with integral boundary condition is proposed. We prove that the method is O(N(-2)lnN) uniform convergent on Shishkin meshes. Numerical results are also presented.en10.1007/s00009-021-01758-winfo:eu-repo/semantics/closedAccessParameterized problemSingular perturbationUniform convergenceFinite difference schemeShishkin meshIntegral boundary conditionArticle1832-s2.0-85104399565WOS:000640776300001Q2Q2