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An approach to numerical solution of multipoint boundary-value problems

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Abstract

An approach is proposed to solving multipoint boundary-value problems for linear differential equation of w-th order, based on reduction to two-point boundary-value problems. The two-point problems are solved by the stable discrete orthogonalization method. Some numerical examples are considered.

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Authors and Affiliations

  1. Institute of Mechanics of the Academy of Sciences of Ukrainian SSR, Ukraine

    Ya. M. Grigorenko & O. Ovlyakuliev

  2. Turkmen Teachers' College, USSR

    Ya. M. Grigorenko & O. Ovlyakuliev

Authors
  1. Ya. M. Grigorenko
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  2. O. Ovlyakuliev
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Additional information

Translated from Vychislitel'naya i Prikladnaya Matematika, No. 58, pp. 36–45, 1986.

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Grigorenko, Y.M., Ovlyakuliev, O. An approach to numerical solution of multipoint boundary-value problems. J Math Sci 58, 418–425 (1992). https://doi.org/10.1007/BF01100067

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  • DOI: https://doi.org/10.1007/BF01100067

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