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Please use this identifier to cite or link to this item: http://hdl.handle.net/11452/24107
Title: Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator
Authors: Ashyralyev, Allaberen
Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Anabilim Dalı.
0000-0003-1375-2503
Yıldırım, Özgür
K-3041-2013
35775025200
Keywords: Mathematics
Hyperbolic equation
Nonlocal boundary value problems
Stability
Partial differential equations
Accuracy difference schemes
Difference schemes
Dirichlet condition
Hyperbolic equations
Hyperbolic problems
Multidimensional hyperbolic equations
Non-local boundary conditions
Nonlocal boundary
Nonlocal boundary value problems
Numerical solution
Second orders
Self adjoint operator
Stability estimates
Mathematical operators
Issue Date: 1-Oct-2011
Publisher: Elsevier
Citation: Ashyralyev, A. ve Yıldırım, Ö. (2011). "Stable difference schemes for the hyperbolic problems subject to nonlocal boundary conditions with self-adjoint operator". Applied Mathematics and Computation, 218(3), Special Issue, 1124-1131.
Abstract: In the present paper the first and second orders of accuracy difference schemes for the numerical solution of multidimensional hyperbolic equations with nonlocal boundary and Dirichlet conditions are presented. The stability estimates for the solution of difference schemes are obtained. A method is used for solving these difference schemes in the case of one dimensional hyperbolic equation.
URI: https://doi.org/10.1016/j.amc.2011.03.155
https://www.sciencedirect.com/science/article/pii/S0096300311005352
http://hdl.handle.net/11452/24107
ISSN: 0096-3003
1873-5649
Appears in Collections:Scopus
Web of Science

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