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Accuracy of the “cross” difference scheme for the system of acoustic equations

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Abstract

A “cross” difference scheme is constructed by the integro-interpolation method for the system of acoustic equations and an a priori bound is derived in some norm weaker than L2. The bound is used to prove convergence of the solution of the difference scheme at a rate 0(τ2+h2) to the solution of the original differential problem in the class W2 2(QT) and at a rate 0(τ+h) to the solution in W2 1(QT).

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Authors and Affiliations

  1. Kiev University, Kiev

    M. N. Moskal'kov & D. Utebaev

Authors
  1. M. N. Moskal'kov
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  2. D. Utebaev
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Translated from Vychislitel'naya i Prikladnaya Matematika, No. 56, pp. 29–36, 1985

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Moskal'kov, M.N., Utebaev, D. Accuracy of the “cross” difference scheme for the system of acoustic equations. J Math Sci 54, 773–780 (1991). https://doi.org/10.1007/BF01097586

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  • DOI: https://doi.org/10.1007/BF01097586

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