Strict estimate of the error of numerical solution to the Cauchy problem for a second-order nonlinear differential equationстатья
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Аннотация:A new technique is proposed for estimating the error that appears during computer numerical solution of a second-order differential equation by the Numerov method. This technique is based on the use of two linearly independent solutions to the homogeneous difference equation for the error. Examples demonstrate the applicability of the proposed technique even in those cases where the coordinatewise estimates are very crude.