On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions
In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presen...
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| Format: | Article |
| Language: | English |
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Balikesir University
2019-01-01
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| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://www.ijocta.org/index.php/files/article/view/592 |
| _version_ | 1797913510126026752 |
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| author | Ozgur Yildirim |
| author_facet | Ozgur Yildirim |
| author_sort | Ozgur Yildirim |
| collection | DOAJ |
| description | In this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed. |
| first_indexed | 2024-04-10T12:12:48Z |
| format | Article |
| id | doaj.art-b74013e046c043ad900ce722bce13434 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T12:12:48Z |
| publishDate | 2019-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-b74013e046c043ad900ce722bce134342023-02-15T16:15:56ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032019-01-019110.11121/ijocta.01.2019.00592On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditionsOzgur Yildirim0Yildiz Technical University, Department of MathematicsIn this paper, third and fourth order of accuracy stable difference schemes for approximately solving multipoint nonlocal boundary value problems for hyperbolic equations with the Neumann boundary conditions are considered. Stability estimates for the solutions of these difference schemes are presented. Finite difference method is used to obtain numerical solutions. Numerical results of errors and CPU times are presented and are analyzed.http://www.ijocta.org/index.php/files/article/view/592Nonlocal and multipoint BVPsStabilityAbstract hyperbolic equationsFinite difference methods |
| spellingShingle | Ozgur Yildirim On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions An International Journal of Optimization and Control: Theories & Applications Nonlocal and multipoint BVPs Stability Abstract hyperbolic equations Finite difference methods |
| title | On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions |
| title_full | On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions |
| title_fullStr | On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions |
| title_full_unstemmed | On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions |
| title_short | On stable high order difference schemes for hyperbolic problems with the Neumann boundary conditions |
| title_sort | on stable high order difference schemes for hyperbolic problems with the neumann boundary conditions |
| topic | Nonlocal and multipoint BVPs Stability Abstract hyperbolic equations Finite difference methods |
| url | http://www.ijocta.org/index.php/files/article/view/592 |
| work_keys_str_mv | AT ozguryildirim onstablehighorderdifferenceschemesforhyperbolicproblemswiththeneumannboundaryconditions |