On the Closeness of Solutions of Unperturbed and Hyperbolized Heat Equations with Discontinuous Initial Data


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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.

Sobre autores

T. Moiseev

Faculty of Computational Mathematics and Cybernetics

Autor responsável pela correspondência
Email: tsmoiseev@mail.ru
Rússia, Moscow, 119991

E. Myshetskaya

Keldysh Institute of Applied Mathematics

Email: tsmoiseev@mail.ru
Rússia, Moscow, 125047

V. Tishkin

Keldysh Institute of Applied Mathematics

Email: tsmoiseev@mail.ru
Rússia, Moscow, 125047

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