On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation
It is attempted to provide the stability and convergence analysis of the reproducing kernel space method for solving the Duffing equation with with boundary integral conditions. We will prove that the reproducing space method is stable. Moreover, after introducing the method, it is shown that it has...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2016/3520815 |
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| _version_ | 1832546564931846144 |
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| author | Bahram Asadi Taher Lotfi |
| author_facet | Bahram Asadi Taher Lotfi |
| author_sort | Bahram Asadi |
| collection | DOAJ |
| description | It is attempted to provide the stability and convergence analysis of the reproducing kernel space method for solving the Duffing equation with with boundary integral conditions. We will prove that the reproducing space method is stable. Moreover, after introducing the method, it is shown that it has convergence order two. |
| format | Article |
| id | doaj-art-e20d8186f9e84105a4ea157125cb3d2a |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-e20d8186f9e84105a4ea157125cb3d2a2025-02-03T06:48:17ZengWileyInternational Journal of Differential Equations1687-96431687-96512016-01-01201610.1155/2016/35208153520815On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing EquationBahram Asadi0Taher Lotfi1Department of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamadan, IranDepartment of Applied Mathematics, Hamedan Branch, Islamic Azad University, Hamadan, IranIt is attempted to provide the stability and convergence analysis of the reproducing kernel space method for solving the Duffing equation with with boundary integral conditions. We will prove that the reproducing space method is stable. Moreover, after introducing the method, it is shown that it has convergence order two.http://dx.doi.org/10.1155/2016/3520815 |
| spellingShingle | Bahram Asadi Taher Lotfi On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation International Journal of Differential Equations |
| title | On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation |
| title_full | On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation |
| title_fullStr | On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation |
| title_full_unstemmed | On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation |
| title_short | On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation |
| title_sort | on accuracy and stability analysis of the reproducing kernel space method for the forced duffing equation |
| url | http://dx.doi.org/10.1155/2016/3520815 |
| work_keys_str_mv | AT bahramasadi onaccuracyandstabilityanalysisofthereproducingkernelspacemethodfortheforcedduffingequation AT taherlotfi onaccuracyandstabilityanalysisofthereproducingkernelspacemethodfortheforcedduffingequation |