Realization of Exact Three-Point Difference Schemes for Nonlinear Boundary-Value Problems on the Semiaxis
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New algorithmic realization of exact three-point difference schemes via the three-point difference schemes of high order of accuracy is proposed for the numerical solution of boundary-value problems for systems of nonlinear ordinary differential equations on the semiaxis. We study the existence and uniqueness of the solution of three-point difference schemes and estimate the rate of convergence. The results of numerical experiments are also presented.
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