On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator
A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution of the difference scheme are established. In...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/959216 |
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| _version_ | 1849411710674272256 |
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| author | Allaberen Ashyralyev Ozgur Yildirim |
| author_facet | Allaberen Ashyralyev Ozgur Yildirim |
| author_sort | Allaberen Ashyralyev |
| collection | DOAJ |
| description | A third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution of the difference scheme are established. In practice, one-dimensional hyperbolic equation with nonlocal boundary conditions is considered. |
| format | Article |
| id | doaj-art-62d3310918d643f184cfd99cf22441df |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-62d3310918d643f184cfd99cf22441df2025-08-20T03:34:41ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/959216959216On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint OperatorAllaberen Ashyralyev0Ozgur Yildirim1Department of Mathematics, Fatih University, Buyukcekmece, 34500 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, Esenler, 34210 Istanbul, TurkeyA third order of accuracy absolutely stable difference schemes is presented for nonlocal boundary value hyperbolic problem of the differential equations in a Hilbert space H with self-adjoint positive definite operator A. Stability estimates for solution of the difference scheme are established. In practice, one-dimensional hyperbolic equation with nonlocal boundary conditions is considered.http://dx.doi.org/10.1155/2013/959216 |
| spellingShingle | Allaberen Ashyralyev Ozgur Yildirim On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator Abstract and Applied Analysis |
| title | On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator |
| title_full | On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator |
| title_fullStr | On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator |
| title_full_unstemmed | On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator |
| title_short | On Stability of a Third Order of Accuracy Difference Scheme for Hyperbolic Nonlocal BVP with Self-Adjoint Operator |
| title_sort | on stability of a third order of accuracy difference scheme for hyperbolic nonlocal bvp with self adjoint operator |
| url | http://dx.doi.org/10.1155/2013/959216 |
| work_keys_str_mv | AT allaberenashyralyev onstabilityofathirdorderofaccuracydifferenceschemeforhyperbolicnonlocalbvpwithselfadjointoperator AT ozguryildirim onstabilityofathirdorderofaccuracydifferenceschemeforhyperbolicnonlocalbvpwithselfadjointoperator |