Difference functional inequalities and applications

The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based...

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Main Author:	Anna Szafrańska
Format:	Article
Language:	English
Published:	AGH Univeristy of Science and Technology Press 2014-01-01
Series:	Opuscula Mathematica
Subjects:	initial boundary value problems difference functional inequalities difference methods stability and convergence interpolating operators error estimates
Online Access:	http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3425.pdf

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spelling	doaj-389a212e364e48c7a107335dbdbd4bad2020-11-24T22:57:02ZengAGH Univeristy of Science and Technology PressOpuscula Mathematica1232-92742014-01-01342405423http://dx.doi.org/10.7494/OpMath.2014.34.2.4053425Difference functional inequalities and applicationsAnna Szafrańska0Gdansk University of Technology, Department of Applied Physics and Mathematics, ul. Gabriela Narutowicza 11-12, 80-952 Gdansk, PolandThe paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3425.pdfinitial boundary value problemsdifference functional inequalitiesdifference methodsstability and convergenceinterpolating operatorserror estimates
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Anna Szafrańska
spellingShingle	Anna Szafrańska Difference functional inequalities and applications Opuscula Mathematica initial boundary value problems difference functional inequalities difference methods stability and convergence interpolating operators error estimates
author_facet	Anna Szafrańska
author_sort	Anna Szafrańska
title	Difference functional inequalities and applications
title_short	Difference functional inequalities and applications
title_full	Difference functional inequalities and applications
title_fullStr	Difference functional inequalities and applications
title_full_unstemmed	Difference functional inequalities and applications
title_sort	difference functional inequalities and applications
publisher	AGH Univeristy of Science and Technology Press
series	Opuscula Mathematica
issn	1232-9274
publishDate	2014-01-01
description	The paper deals with the difference inequalities generated by initial boundary value problems for hyperbolic nonlinear differential functional systems. We apply this result to investigate the stability of constructed difference schemes. The proof of the convergence of the difference method is based on the comparison technique, and the result for difference functional inequalities is used. Numerical examples are presented.
topic	initial boundary value problems difference functional inequalities difference methods stability and convergence interpolating operators error estimates
url	http://www.opuscula.agh.edu.pl/vol34/2/art/opuscula_math_3425.pdf
work_keys_str_mv	AT annaszafranska differencefunctionalinequalitiesandapplications
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Difference functional inequalities and applications

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