Stable difference scheme for a nonlinear Klein-Gordon equation

For a nonlinear Klein-Gordon equation, we obtain a stable difference scheme for large time intervals. We prove that this scheme has the sixth order of accuracy.

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Bibliographic Details
Date:1997
Main Authors: Nizhnik, L. P., Нижник, Л. П.
Format: Article
Language:Ukrainian
English
Published: Institute of Mathematics, NAS of Ukraine 1997
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/5073
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal
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author Nizhnik, L. P.
Нижник, Л. П.
author_facet Nizhnik, L. P.
Нижник, Л. П.
author_sort Nizhnik, L. P.
baseUrl_str https://umj.imath.kiev.ua/index.php/umj/oai
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datestamp_date 2020-03-18T21:24:02Z
description For a nonlinear Klein-Gordon equation, we obtain a stable difference scheme for large time intervals. We prove that this scheme has the sixth order of accuracy.
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English
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spelling umjimathkievua-article-50732020-03-18T21:24:02Z Stable difference scheme for a nonlinear Klein-Gordon equation Стійка різницева схема для нелінійного рівняння Клейна - Гордона Nizhnik, L. P. Нижник, Л. П. For a nonlinear Klein-Gordon equation, we obtain a stable difference scheme for large time intervals. We prove that this scheme has the sixth order of accuracy. Для нелінійного рівняння Клейна - Гордона одержано стійку різницеву схему на великих часових проміжках. Доведено, що схема має шостий порядок точності. Institute of Mathematics, NAS of Ukraine 1997-06-25 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/5073 Ukrains’kyi Matematychnyi Zhurnal; Vol. 49 No. 6 (1997); 857–859 Український математичний журнал; Том 49 № 6 (1997); 857–859 1027-3190 uk en https://umj.imath.kiev.ua/index.php/umj/article/view/5073/6843 https://umj.imath.kiev.ua/index.php/umj/article/view/5073/6844 Copyright (c) 1997 Nizhnik L. P.
spellingShingle Nizhnik, L. P.
Нижник, Л. П.
Stable difference scheme for a nonlinear Klein-Gordon equation
title Stable difference scheme for a nonlinear Klein-Gordon equation
title_alt Стійка різницева схема для нелінійного рівняння Клейна - Гордона
title_full Stable difference scheme for a nonlinear Klein-Gordon equation
title_fullStr Stable difference scheme for a nonlinear Klein-Gordon equation
title_full_unstemmed Stable difference scheme for a nonlinear Klein-Gordon equation
title_short Stable difference scheme for a nonlinear Klein-Gordon equation
title_sort stable difference scheme for a nonlinear klein-gordon equation
url https://umj.imath.kiev.ua/index.php/umj/article/view/5073
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