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Öğe Convergence analysis of the numerical method for a singularly perturbed periodical boundary value problem(Journal Mathematics & Computer Science-Jmcs, 2016) Çakır, Musa; Amirali, İlhame; Kudu, Mustafa; Amiraliyev, Gabli M.This work deals with the singularly perturbed periodical boundary value problem for a quasilinear second-order differential equation. The numerical method is constructed on piecewise uniform Shishkin type mesh, which gives first-order uniform convergence in the discrete maximum norm. Numerical results supporting the theory are presented. (C) 2016 All rights reserved.