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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/134232026-10-18T20:39:11Zopenairedrivercom_ebyu_10000col_ebyu_10001

A Fitted Second-Order Difference Method for a Parameterized Problem with Integral Boundary Condition Exhibiting Initial LayerKudu, MustafaAmirali, IlhameAmiraliyev, Gabil M.Finite difference schemeIntegral boundary conditionParameterized problemShishkin meshSingular perturbationUniform convergenceIn 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- 2ln N) uniform convergent on Shishkin meshes. Numerical results are also presented. © 2021, The Author(s), under exclusive licence to Springer Nature Switzerland AG.Birkhauser2021Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13423https://doi.org/10.1007/s00009-021-01758-w1660-5446enMediterranean Journal of Mathematicsinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13423