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Comparison of dispersion properties of some difference schemes for the system of two-dimensional equations of acoustics

  • Numerical Methods for Solution of Equations
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Abstract

We analyze the dispersion properties of three difference schemes approximating the system of two-dimensional equations of acoustics. Comparison of the principal terms in the expansion of the dispersion error indicates that the dispersion properties of the centered scheme proposed by the authors are superior to those of other schemes, including the well-known Lax—Wedroff scheme. Computational results are reported supporting the theoretical conclusions.

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Authors
  1. M. N. Moskal'kov
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  2. D. Utebaev
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Additional information

Kiev University. Nukus University. Translated from Vychislitel'naya i Prikladnaya Matematika, No. 75, pp. 43–50, 1991.

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Moskal'kov, M.N., Utebaev, D. Comparison of dispersion properties of some difference schemes for the system of two-dimensional equations of acoustics. J Math Sci 72, 3080–3085 (1994). https://doi.org/10.1007/BF01259475

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  • DOI: https://doi.org/10.1007/BF01259475

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