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KIAM Preprint  86, Moscow, 2017
Authors: Moiseev T.E., Myshetskaya E.E., Tishkin V.F.
On the proximity of solutions of unperturbed and hyperbolized heat equations for discontinuous initial data
Abstract:
In this paper we investigate the effect of the additive in the form of a second time derivative with a small parameter in the heat equation for discontinuous periodic initial data. It is shown that, with the exception of the initial instants of time, the error of hyperbolization tends to zero as the square root of the value of the additive.
Keywords:
quasihydrodynamic system, hyperbolization, parabolic equations
Publication language: russian,  pages: 15
Research direction:
Mathematical problems and theory of numerical methods
Russian source text:
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About authors:
  • Moiseev Tikhon Evgenievich,  ,  . ..
  • Myshetskaya Elena Evgenievna,  KIAM RAS
  • Tishkin Vladimir Fedorovich,  orcid.org/0000-0001-7295-7002KIAM RAS