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oai:ebyu-rdlopen.rawdatalibrary.net:ebyu/138552026-10-18T20:43:03Zopenairedrivercom_ebyu_10000col_ebyu_10001

The difference schemes for solving singularly perturbed three-point boundary value problemCakir, MusaCimen, ErkanAmiraliyev, Gabil M.boundary value problemexponentially fitted difference schemenonlocal conditionsingular perturbationuniformly convergenceIn this paper, we propose and analyze numerical treatment for a singularly perturbed convection–diffusion boundary value problem with nonlocal condition. First, the boundary layer behavior of the exact solution and its first derivative have been estimated. Then we construct a finite difference scheme on a uniform mesh. We prove the uniform convergence of the proposed difference scheme and give an error estimate. We also present numerical examples, which demonstrate computational efficiency of the proposed method. © 2020, Springer Science+Business Media, LLC, part of Springer Nature.Springer2020Articlehttps://rdlopen.rawdatalibrary.net/r/ebyu/13855https://doi.org/10.1007/s10986-020-09471-z0363-1672enLithuanian Mathematical Journalinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://ebyu-rdlopen.rawdatalibrary.net/tr/items/ebyu/13855