On the Solution of NBVP for Multidimensional Hyperbolic Equations

We are interested in studying multidimensional hyperbolic equations with nonlocal integral and Neumann or nonclassical conditions. For the approximate solution of this problem first and second order of accuracy difference schemes are presented. Stability estimates for the solution of these differenc...

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Main Authors: Allaberen Ashyralyev, Necmettin Aggez
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:The Scientific World Journal
Online Access:http://dx.doi.org/10.1155/2014/841602
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author Allaberen Ashyralyev
Necmettin Aggez
author_facet Allaberen Ashyralyev
Necmettin Aggez
author_sort Allaberen Ashyralyev
collection DOAJ
description We are interested in studying multidimensional hyperbolic equations with nonlocal integral and Neumann or nonclassical conditions. For the approximate solution of this problem first and second order of accuracy difference schemes are presented. Stability estimates for the solution of these difference schemes are established. Some numerical examples illustrating applicability of these methods to hyperbolic problems are given.
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institution Kabale University
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1537-744X
language English
publishDate 2014-01-01
publisher Wiley
record_format Article
series The Scientific World Journal
spelling doaj-art-4a441b2b4dd044eab48f75001d43269c2025-02-03T01:32:44ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/841602841602On the Solution of NBVP for Multidimensional Hyperbolic EquationsAllaberen Ashyralyev0Necmettin Aggez1Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, TurkeyDepartment of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, TurkeyWe are interested in studying multidimensional hyperbolic equations with nonlocal integral and Neumann or nonclassical conditions. For the approximate solution of this problem first and second order of accuracy difference schemes are presented. Stability estimates for the solution of these difference schemes are established. Some numerical examples illustrating applicability of these methods to hyperbolic problems are given.http://dx.doi.org/10.1155/2014/841602
spellingShingle Allaberen Ashyralyev
Necmettin Aggez
On the Solution of NBVP for Multidimensional Hyperbolic Equations
The Scientific World Journal
title On the Solution of NBVP for Multidimensional Hyperbolic Equations
title_full On the Solution of NBVP for Multidimensional Hyperbolic Equations
title_fullStr On the Solution of NBVP for Multidimensional Hyperbolic Equations
title_full_unstemmed On the Solution of NBVP for Multidimensional Hyperbolic Equations
title_short On the Solution of NBVP for Multidimensional Hyperbolic Equations
title_sort on the solution of nbvp for multidimensional hyperbolic equations
url http://dx.doi.org/10.1155/2014/841602
work_keys_str_mv AT allaberenashyralyev onthesolutionofnbvpformultidimensionalhyperbolicequations
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