Abstract
A system of quasilinear equations of parabolic type which approximates a nonstationary Navier-Stokes problem is considered in this article. Triple layered implicit difference schemes with a linear operator on the upper layer are constructed for this system. Rapidly converging iterative methods can be applied to find a solution on the upper layer. It is proved that the proposed scheme has error O(τ 2+¦h¦2).
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Translated from Matematicheskie Zametki, Vol. 12, No. 1, pp. 59–66, July, 1972.
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D'yakonov, E.G., Kaushilaite, D. A difference-scheme with error O(τ2 + ¦h¦2) for a Navier-Stokes system. Mathematical Notes of the Academy of Sciences of the USSR 12, 467–471 (1972). https://doi.org/10.1007/BF01094393
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DOI: https://doi.org/10.1007/BF01094393