This article is cited in 3 papers

Uniqueness of a high-order accurate bicompact scheme for quasilinear hyperbolic equations

M. D. Bragin^a, B. V. Rogov<sup>ba

a</sup> Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudnyi, Moscow oblast, 141700, Russia
^b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

Abstract: The possibility of constructing new third- and fourth-order accurate differential-difference bicompact schemes is explored. The schemes are constructed for the one-dimensional quasilinear advection equation on a symmetric three-point spatial stencil. It is proved that this family of schemes consists of a single fourth-order accurate bicompact scheme. The result is extended to the case of an asymmetric three-point stencil.

Key words: quasilinear hyperbolic equations, compact difference schemes, high-order accurate bicompact schemes.

UDC: 519.633

Received: 10.12.2013

DOI: 10.7868/S004446691405007X

 English version: Computational Mathematics and Mathematical Physics, 2014, 54:5, 831–836

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