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Article

Keywords:
ordinary differential equations with parameters; numerical solution; one-step method; parameter estimation; iterative methods; convergence; error estimates; numerical examples
Summary:
In the present paper we are concerned with the problem of numerical solution of ordinary differential equations with parameters. Our method is based on a one-step procedure for IDEs combined with an iterative process. Simple sufficient conditions for the convergence of this method are obtained. Estimations of errors and some numerical examples are given.
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