A singular perturbation problem for periodic boundary differential equation
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In this paper, we consider a second order ordinary differential equation with a small, positive parameter ε in its highest derivative for periodic boundary values problem and prove that the solution of difference scheme in paper  uniformly converges to the solution of its original problem with order one.
KeywordsDifference Scheme Periodic Boundary Small Parameter Small Neighborhood Positive Parameter
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- Pejinkina, A.A., Solution of the period problem for second order ordinary differential equation with small parameter in its leading derivatives.Differential Equations with Small Parameter (1980), 111–118. (in Russian)Google Scholar