A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem
type: Item
instance of: scholarly article
title: A note on the second order of accuracy stable difference schemes for the nonlocal boundary value hyperbolic problem
zbMATH Open document ID: 1253.65123
DOI: 10.1155/2012/846582
author: Allaberen Ashyralyev
author: Ozgur Yildirim
published in: Abstract and Applied Analysis
publication date: 2012-12-18T00:00:00Z
review text: Summary: The second order of accuracy absolutely stable difference schemes are presented for the nonlocal boundary value hyperbolic problem for the differential equations in a Hilbert space \(H\) with the self-adjoint positive definite operator \(A\). The stability estimates for the solutions of these difference schemes are established. In practice, one-dimensional hyperbolic equation with nonlocal boundary conditions and multidimensional hyperbolic equation with Dirichlet conditions are considered. The stability estimates for the solutions of these difference schemes for the nonlocal boundary value hyperbolic problem are established. Finally, a numerical method proposed and numerical experiments, analysis of the errors, and related execution times are presented in order to verify theoretical statements.
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 35L99
zbMATH DE Number: 6116460
zbMATH Keywords: absolutely stable difference schemes
Wikidata QID: Q58696934
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/846582
OpenAlex ID: W2097301160
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description: scientific article; zbMATH DE number 6116460