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Two-Sided Approximation of Solutions of Boundary-Value Problems

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Abstract

We propose a general scheme for the two-sided approximation of solutions of boundary-value problems for ordinary differential equations. This scheme involves a number of known and new two-sided methods. In our investigation, we use constructions of the Samoilenko numerical-analytic method together with the procedure of the construction of two-sided methods proposed by Kurpel’ and Shuvar.

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  1. Lviv, Ukraine

    B. A. Shuvar & S. M. Mentyns’kyi

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  1. B. A. Shuvar
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  2. S. M. Mentyns’kyi
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 57, No. 2, pp. 284–288, February, 2005.

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Shuvar, B.A., Mentyns’kyi, S.M. Two-Sided Approximation of Solutions of Boundary-Value Problems. Ukr Math J 57, 340–345 (2005). https://doi.org/10.1007/s11253-005-0194-7

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  • DOI: https://doi.org/10.1007/s11253-005-0194-7

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