Email this article On the Closeness of Solutions of Unperturbed and Hyperbolized Heat Equations with Discontinuous Initial Data
- Authors: Moiseev T.E.1, Myshetskaya E.E.2, Tishkin V.F.2
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Affiliations:
- Faculty of Computational Mathematics and Cybernetics
- Keldysh Institute of Applied Mathematics
- Issue: Vol 98, No 1 (2018)
- Pages: 391-395
- Section: Mathematics
- URL: https://journals.rcsi.science/1064-5624/article/view/225542
- DOI: https://doi.org/10.1134/S1064562418050277
- ID: 225542
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Abstract
The influence exerted by the second time derivative with a small parameter added to the heat equation in the case of discontinuous periodic initial data is investigated. It is shown that, except for the initial instants of time, the error of hyperbolization vanishes as the square root of the addition.
About the authors
T. E. Moiseev
Faculty of Computational Mathematics and Cybernetics
Author for correspondence.
Email: tsmoiseev@mail.ru
Russian Federation, Moscow, 119991
E. E. Myshetskaya
Keldysh Institute of Applied Mathematics
Email: tsmoiseev@mail.ru
Russian Federation, Moscow, 125047
V. F. Tishkin
Keldysh Institute of Applied Mathematics
Email: tsmoiseev@mail.ru
Russian Federation, Moscow, 125047
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