On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem
This paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obta...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2015/121437 |
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| _version_ | 1832564105260564480 |
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| author | Ozgur Yildirim Meltem Uzun |
| author_facet | Ozgur Yildirim Meltem Uzun |
| author_sort | Ozgur Yildirim |
| collection | DOAJ |
| description | This paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obtained. Some results of numerical experiments that support theoretical statements are presented. |
| format | Article |
| id | doaj-art-10aee881478c47a98a736f080d8653bb |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-10aee881478c47a98a736f080d8653bb2025-02-03T01:11:44ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2015-01-01201510.1155/2015/121437121437On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value ProblemOzgur Yildirim0Meltem Uzun1Department of Mathematics, Yildiz Technical University, Esenler, 34210 Istanbul, TurkeyDepartment of Mathematics, Yildiz Technical University, Esenler, 34210 Istanbul, TurkeyThis paper presents a third order of accuracy stable difference scheme for the approximate solution of multipoint nonlocal boundary value problem of the hyperbolic type in a Hilbert space with self-adjoint positive definite operator. Stability estimates for solution of the difference scheme are obtained. Some results of numerical experiments that support theoretical statements are presented.http://dx.doi.org/10.1155/2015/121437 |
| spellingShingle | Ozgur Yildirim Meltem Uzun On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem Discrete Dynamics in Nature and Society |
| title | On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem |
| title_full | On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem |
| title_fullStr | On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem |
| title_full_unstemmed | On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem |
| title_short | On Third Order Stable Difference Scheme for Hyperbolic Multipoint Nonlocal Boundary Value Problem |
| title_sort | on third order stable difference scheme for hyperbolic multipoint nonlocal boundary value problem |
| url | http://dx.doi.org/10.1155/2015/121437 |
| work_keys_str_mv | AT ozguryildirim onthirdorderstabledifferenceschemeforhyperbolicmultipointnonlocalboundaryvalueproblem AT meltemuzun onthirdorderstabledifferenceschemeforhyperbolicmultipointnonlocalboundaryvalueproblem |