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Generation of difference schemes for the burgers equation by constructing Gröbner bases

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Abstract

A system of basic difference relations approximating an original system of equations, which are required for the generation of difference schemes, is given. The use of the Gröbner basis technique made it possible to generate classes of Lax, Lax-Wendroff, and Godunov schemes for the Burgers equation.

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Authors and Affiliations

  1. Department of Mechanics and Mathematics, Saratov State University, Saratov, 410071, Russia

    Yu. A. Blinkov & V. V. Mozzhilkin

Authors
  1. Yu. A. Blinkov
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  2. V. V. Mozzhilkin
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Original Russian Text © Yu.A. Blinkov, V.V. Mozzhilkin, 2006, published in Programmirovanie, 2006, Vol. 32, No. 2.

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Blinkov, Y.A., Mozzhilkin, V.V. Generation of difference schemes for the burgers equation by constructing Gröbner bases. Program Comput Soft 32, 114–117 (2006). https://doi.org/10.1134/S0361768806020095

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  • DOI: https://doi.org/10.1134/S0361768806020095

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