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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Detalles Bibliográficos
Autores principales: Ashyralyev, Allaberen, Aggez, Necmettin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4058224/
https://www.ncbi.nlm.nih.gov/pubmed/24983006
http://dx.doi.org/10.1155/2014/841602
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author Ashyralyev, Allaberen
Aggez, Necmettin
author_facet Ashyralyev, Allaberen
Aggez, Necmettin
author_sort Ashyralyev, Allaberen
collection PubMed
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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spelling pubmed-40582242014-06-30 On the Solution of NBVP for Multidimensional Hyperbolic Equations Ashyralyev, Allaberen Aggez, Necmettin ScientificWorldJournal Research Article 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. Hindawi Publishing Corporation 2014-05-25 /pmc/articles/PMC4058224/ /pubmed/24983006 http://dx.doi.org/10.1155/2014/841602 Text en Copyright © 2014 A. Ashyralyev and N. Aggez. https://creativecommons.org/licenses/by/3.0/This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Ashyralyev, Allaberen
Aggez, Necmettin
On the Solution of NBVP for Multidimensional Hyperbolic Equations
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
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4058224/
https://www.ncbi.nlm.nih.gov/pubmed/24983006
http://dx.doi.org/10.1155/2014/841602
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