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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 obtained. The obtained theoretical results are illustrated by a numerical example.

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Bibliographic Details
Date:	2012
Main Authors:	Dragunov, D. V., Makarov, V. L., Sember, D. A., Драгунов, Д. В., Макаров, В. Л., Сембер, Д. А.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2012
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/2667
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Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
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