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Numerical solution of a singularly perturbed problem via exponential splines
Authors:Mirjana Stojanović
Institution:(1) Institute of Mathematics, University of Novi Sad, Dr Ilije Djuriccaronicacutea 4, 21000 Novi Sad, Yugoslavia
Abstract:It is proved that a spline difference scheme for a singularly perturbed self-adjoint problem, derived by using exponential cubic splines at mid-points, has second order uniform convergence in a small parameter epsi. Numerical experiments are presented to confirm the theoretical predictions.
Keywords:65L10
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