FD-method for solving the nonlinear Klein–Gordon equation

We propose a functional discrete method for solving the Goursat problem for the nonlinear Klein–Gordon equation. Sufficient conditions for the superexponential convergence of this method are established. The obtained theoretical results are illustrated by a numerical example. Запропоновано функцiона...

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Published in:Український математичний журнал
Date:2012
Main Authors: Dragunov, D.V., Makarov, V.L., Sember, D.A.
Format: Article
Language:English
Published: Український математичний журнал 2012
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/165245
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:FD-method for solving the nonlinear Klein–Gordon equation / V.L. Makarov, D.V. Dragunov, D.A. Sember // Український математичний журнал. — 2012. — Т. 64, № 10. — С. 1394-1415. — Бібліогр.: 40 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine