A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem
Joint Authors
Ashyralyev, Allaberen
Ashyralyev, Allaberen
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-29, 29 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-06
Country of Publication
Egypt
No. of Pages
29
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Ashyralyev, Allaberen& Ashyralyev, Allaberen. 2012. A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-502909
Modern Language Association (MLA)
Ashyralyev, Allaberen& Ashyralyev, Allaberen. A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem. Abstract and Applied Analysis No. 2012 (2012), pp.1-29.
https://search.emarefa.net/detail/BIM-502909
American Medical Association (AMA)
Ashyralyev, Allaberen& Ashyralyev, Allaberen. A Note on the Second Order of Accuracy Stable Difference Schemes for the Nonlocal Boundary Value Hyperbolic Problem. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-29.
https://search.emarefa.net/detail/BIM-502909
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-502909